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Stockholders' Deficit | 3 Months Ended | 6 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | --- | ---
Dec. 31, 2023 | Mar. 31, 2024 | Jun. 30, 2024 | Sep. 30, 2023
Armada Acquisition Corp I [Member] |  |  |  |
Class of Stock [Line Items] |  |  |  |
Stockholders' Deficit | Note 6 — Stockholders’ Deficit Preferred stock The Company is authorized to issue 1,000,000 shares of preferred stock with apar value of $0.0001 and with such designations, voting and other rights and preferences as may be determined from time to time by the Company’s board of directors. As of December 31, 2023 and September 30, 2023, there were no shares of preferred stock issued or outstanding. Common stock The Company is authorized to issue 100,000,000 shares of common stock with a par value of $0.0001 per share. At December 31, 2023 and September 30, 2023, there were 5,709,500 shares of common stock issued and outstanding, excluding 2,363,349 and 2,363,349 shares subject to redemption, respectively. On February 3, 2021, affiliates of the Sponsor paid $25,000, or approximately $0.006 per share, to cover certain offering costs in consideration for 4,312,500 Founder Shares. On February 8, 2021, EarlyBirdCapital, Inc. and Northland purchased 162,500 and 87,500 representative shares, respectively, at an average purchase price of approximately $0.0001 per share, or an aggregate purchase price of $25.00. On May 29, 2021, Northland returned 87,500 shares of common stock to the Company, for no consideration, which were subsequently cancelled and on June 16, 2021, the Sponsor purchased an additional 700,000 shares of common stock at a purchase price of $0.006 per share, resulting in the Sponsor holding an aggregate of 5,012,500 shares of common stock. On June 16, 2021, the Sponsor transferred 50,000 shares to its Chief Executive Officer and to its President and 35,000 shares to each of its three outside directors. The Founder Shares included an aggregate of up to 1,125,000 shares subject to forfeiture by the Sponsor to the extent that the underwriters’ over-allotment option was not exercised in full or in part. On October 1, 2021 the underwriter’s over-allotment option expired unused resulting in 1,125,000 founder shares forfeited to the Company for no consideration. Common stockholders of record are entitled to one vote for each share held on all matters to be voted on by stockholders. In connection with any vote held to approve the initial Business Combination, the Sponsor, as well as all of the Company’s officers and directors, have agreed to vote their respective shares of common stock owned by them immediately prior to the IPO and any shares purchased in the IPO or following the IPO in the open market in favor of the proposed Business Combination. Warrants Each whole warrant entitles the holder to purchase one share of common stock at a price of $11.50 per share, subject to adjustment as discussed herein. The warrants will become exercisable 30 days after the completion of the Company’s initial Business Combination. However, no warrants will be exercisable for cash unless the Company has an effective and current registration statement covering the shares of common stock issuable upon exercise of the warrants and a current prospectus relating to such shares of common stock. Notwithstanding the foregoing, if a registration statement covering the shares of common stock issuable upon exercise of the public warrants is not effective within 90 days following the consummation of the initial Business Combination, warrant holders may, until such time as there is an effective registration statement and during any period when the Company shall have failed to maintain an effective registration statement, exercise warrants on a cashless basis pursuant to the exemption provided by Section 3(a)(9) of the Securities Act, provided that such exemption is available. If that exemption, or another exemption, is not available, holders will not be able to exercise their warrants on a cashless basis. In the event of such cashless exercise, each holder would pay the exercise price by surrendering the warrants for that number of shares of common stock equal to the quotient obtained by dividing (x) the product of the number of shares of common stock underlying the warrants, multiplied by the difference between the exercise price of the warrants and the “fair market value” (defined below) by (y) the fair market value. The “fair market value” for this purpose will mean the average reported last sale price of the shares of common stock for the 5 trading days ending on the trading day prior to the date of exercise. The warrants will expire on the fifth anniversary of the completion of an initial Business Combination, at 5:00 p.m., New York City time, or earlier upon redemption or liquidation. The Company may call the warrants for redemption, in whole and not in part, at a price of $0.01 per warrant, in whole and not in part: • at any time after the warrants become exercisable, • upon not less than 30 days’ prior written notice of redemption to each warrant holder • if, and only if, the reported last sale price of the common stock equals or exceeds $18.00 per share (as adjusted for stock splits, stock dividends, reorganizations, recapitalizations) for any 20 trading days within a 30-trading day period commencing at any time after the warrants become exercisable and ending on the third business day prior to the notice of redemption to warrant holders; and • if, and only if, there is a current registration statement in effect with respect to the shares of common stock underlying such warrants. If the Company calls the warrants for redemption as described above, the Company’s management will have the option to require all holders that wish to exercise warrants to do so on a “cashless basis.” In such event, each holder would pay the exercise price by surrendering the warrants for that number of shares of common stock equal to the quotient obtained by dividing (x) the product of the number of shares of common stock underlying the warrants, multiplied by the difference between the exercise price of the warrants and the “fair market value” (defined below) by (y) the fair market value. The “fair market value” for this purpose shall mean the average reported last sale price of the shares of common stock for the 5 trading days ending on the third trading day prior to the date on which the notice of redemption is sent to the holders of warrants. In addition, if (x) the Company issues additional shares of common stock or equity-linked securities for capital raising purposes in connection with the closing of the initial Business Combination at an issue price or effective issue price of less than $9.20 per share of common stock (with such issue price or effective issue price to be determined in good faith by the Company’s board of directors, and in the case of any such issuance to the Sponsor, initial stockholders or their affiliates, without taking into account any founders’ shares held by them prior to such issuance), (y) the aggregate gross proceeds from such issuances represent more than 60% of the total equity proceeds, and interest thereon, available for the funding of the initial Business Combination on the date of the consummation of the initial Business Combination (net of redemptions), and (z) the Market Value is below $9.20 per share, the exercise price of the warrants will be adjusted (to the nearest cent) to be equal to 115% of the greater of (i) the Market Value or (ii) the price at which the Company issues the additional shares of common stock or equity-linked securities. | Note 7 — Stockholders’ Deficit Preferred stock The Company is authorized to issue 1,000,000 shares of preferred stock with apar value of $0.0001 and with such designations, voting and other rights and preferences as may be determined from time to time by the Company’s board of directors. As of March 31, 2024 and September 30, 2023, there were no shares of preferred stock issued or outstanding. Common stock The Company is authorized to issue 100,000,000 shares of common stock with a par value of $0.0001 per share. At March 31, 2024 and September 30, 2023, there were 5,709,500 shares of common stock issued and outstanding, excluding 1,417,687 and 2,363,349 shares subject to redemption, respectively. On February 3, 2021, affiliates of the Sponsor paid $25,000, or approximately $0.006 per share, to cover certain offering costs in consideration for 4,312,500 Founder Shares. On February 8, 2021, EarlyBirdCapital, Inc. and Northland purchased 162,500 and 87,500 representative shares, respectively, at an average purchase price of approximately $0.0001 per share, or an aggregate purchase price of $25.00. On May 29, 2021, Northland returned 87,500 shares of common stock to the Company, for no consideration, which were subsequently cancelled and on June 16, 2021, the Sponsor purchased an additional 700,000 shares of common stock at a purchase price of $0.006 per share, resulting in the Sponsor holding an aggregate of 5,012,500 shares of common stock. On June 16, 2021, the Sponsor transferred 50,000 shares to its Chief Executive Officer and to its President and 35,000 shares to each of its three outside directors. The Founder Shares included an aggregate of up to 1,125,000 shares subject to forfeiture by the Sponsor to the extent that the underwriters’ over-allotment option was not exercised in full or in part. On October 1, 2021 the underwriter’s over-allotment option expired unused resulting in 1,125,000 founder shares forfeited to the Company for no consideration. Common stockholders of record are entitled to one vote for each share held on all matters to be voted on by stockholders. In connection with any vote held to approve the initial Business Combination, the Sponsor, as well as all of the Company’s officers and directors, have agreed to vote their respective shares of common stock owned by them immediately prior to the IPO and any shares purchased in the IPO or following the IPO in the open market in favor of the proposed Business Combination. Warrants Each whole warrant entitles the holder to purchase one share of common stock at a price of $11.50 per share, subject to adjustment as discussed herein. The warrants will become exercisable 30 days after the completion of the Company’s initial Business Combination. However, no warrants will be exercisable for cash unless the Company has an effective and current registration statement covering the shares of common stock issuable upon exercise of the warrants and a current prospectus relating to such shares of common stock. Notwithstanding the foregoing, if a registration statement covering the shares of common stock issuable upon exercise of the public warrants is not effective within 90 days following the consummation of the initial Business Combination, warrant holders may, until such time as there is an effective registration statement and during any period when the Company shall have failed to maintain an effective registration statement, exercise warrants on a cashless basis pursuant to the exemption provided by Section 3(a)(9) of the Securities Act, provided that such exemption is available. If that exemption, or another exemption, is not available, holders will not be able to exercise their warrants on a cashless basis. In the event of such cashless exercise, each holder would pay the exercise price by surrendering the warrants for that number of shares of common stock equal to the quotient obtained by dividing (x) the product of the number of shares of common stock underlying the warrants, multiplied by the difference between the exercise price of the warrants and the “fair market value” (defined below) by (y) the fair market value. The “fair market value” for this purpose will mean the average reported last sale price of the shares of common stock for the 5 trading days ending on the trading day prior to the date of exercise. The warrants will expire on the fifth anniversary of the completion of an initial Business Combination, at 5:00 p.m., New York City time, or earlier upon redemption or liquidation. The Company may call the warrants for redemption, in whole and not in part, at a price of $0.01 per warrant, in whole and not in part: • at any time after the warrants become exercisable, • upon not less than 30 days’ prior written notice of redemption to each warrant holder • if, and only if, the reported last sale price of the common stock equals or exceeds $18.00 per share (as adjusted for stock splits, stock dividends, reorganizations, recapitalizations) for any 20 trading days within a 30-tradingday period commencing at any time after the warrants become exercisable and ending on the third business day prior to the notice of redemption to warrant holders; and • if, and only if, there is a current registration statement in effect with respect to the shares of common stock underlying such warrants. If the Company calls the warrants for redemption as described above, the Company’s management will have the option to require all holders that wish to exercise warrants to do so on a “cashless basis.” In such event, each holder would pay the exercise price by surrendering the warrants for that number of shares of common stock equal to the quotient obtained by dividing (x) the product of the number of shares of common stock underlying the warrants, multiplied by the difference between the exercise price of the warrants and the “fair market value” (defined below) by (y) the fair market value. The “fair market value” for this purpose shall mean the average reported last sale price of the shares of common stock for the 5 trading days ending on the third trading day prior to the date on which the notice of redemption is sent to the holders of warrants. In addition, if (x) the Company issues additional shares of common stock or equity-linked securities for capital raising purposes in connection with the closing of the initial Business Combination at an issue price or effective issue price of less than $9.20 per share of common stock (with such issue price or effective issue price to be determined in good faith by the Company’s board of directors, and in the case of any such issuance to the Sponsor, initial stockholders or their affiliates, without taking into account any founders’ shares held by them prior to such issuance), (y) the aggregate gross proceeds from such issuances represent more than 60% of the total equity proceeds, and interest thereon, available for the funding of the initial Business Combination on the date of the consummation of the initial Business Combination (net of redemptions), and (z) the Market Value is below $9.20 per share, the exercise price of the warrants will be adjusted (to the nearest cent) to be equal to 115% of the greater of (i) the Market Value or (ii) the price at which the Company issues the additional shares of common stock or equity-linked securities. | Note 7 — Stockholders’ Deficit Preferred stock The Company is authorized to issue 1,000,000 shares of preferred stock with apar value of $0.0001 and with such designations, voting and other rights and preferences as may be determined from time to time by the Company’s board of directors. As of June 30, 2024 and September 30, 2023, there were no shares of preferred stock issued or outstanding. Common stock The Company is authorized to issue 100,000,000 shares of common stock with a par value of $0.0001 per share. At June 30, 2024 and September 30, 2023, there were 5,709,500 shares of common stock issued and outstanding, excluding 1,417,687 and 2,363,349 shares subject to redemption, respectively. On February 3, 2021, affiliates of the Sponsor paid $25,000, or approximately $0.006 per share, to cover certain offering costs in consideration for 4,312,500 Founder Shares. On February 8, 2021, EarlyBirdCapital, Inc. and Northland purchased 162,500 and 87,500 representative shares, respectively, at an average purchase price of approximately $0.0001 per share, or an aggregate purchase price of $25.00. On May 29, 2021, Northland returned 87,500 shares of common stock to the Company, for no consideration, which were subsequently cancelled and on June 16, 2021, the Sponsor purchased an additional 700,000 shares of common stock at a purchase price of $0.006 per share, resulting in the Sponsor holding an aggregate of 5,012,500 shares of common stock. On June 16, 2021, the Sponsor transferred 50,000 shares to its Chief Executive Officer and to its President and 35,000 shares to each of its three outside directors. The Founder Shares included an aggregate of up to 1,125,000 shares subject to forfeiture by the Sponsor to the extent that the underwriters’ over-allotment option was not exercised in full or in part. On October 1, 2021 the underwriter’s over-allotment option expired unused resulting in 1,125,000 founder shares forfeited to the Company for no consideration. Common stockholders of record are entitled to one vote for each share held on all matters to be voted on by stockholders. In connection with any vote held to approve the initial Business Combination, the Sponsor, as well as all of the Company’s officers and directors, have agreed to vote their respective shares of common stock owned by them immediately prior to the IPO and any shares purchased in the IPO or following the IPO in the open market in favor of the proposed Business Combination. Warrants Each whole warrant entitles the holder to purchase one share of common stock at a price of $11.50 per share, subject to adjustment as discussed herein. The warrants will become exercisable 30 days after the completion of the Company’s initial Business Combination. However, no warrants will be exercisable for cash unless the Company has an effective and current registration statement covering the shares of common stock issuable upon exercise of the warrants and a current prospectus relating to such shares of common stock. Notwithstanding the foregoing, if a registration statement covering the shares of common stock issuable upon exercise of the public warrants is not effective within 90 days following the consummation of the initial Business Combination, warrant holders may, until such time as there is an effective registration statement and during any period when the Company shall have failed to maintain an effective registration statement, exercise warrants on a cashless basis pursuant to the exemption provided by Section 3(a)(9) of the Securities Act, provided that such exemption is available. If that exemption, or another exemption, is not available, holders will not be able to exercise their warrants on a cashless basis. In the event of such cashless exercise, each holder would pay the exercise price by surrendering the warrants for that number of shares of common stock equal to the quotient obtained by dividing (x) the product of the number of shares of common stock underlying the warrants, multiplied by the difference between the exercise price of the warrants and the “fair market value” (defined below) by (y) the fair market value. The “fair market value” for this purpose will mean the average reported last sale price of the shares of common stock for the 5 trading days ending on the trading day prior to the date of exercise. The warrants will expire on the fifth anniversary of the completion of an initial Business Combination, at 5:00 p.m., New York City time, or earlier upon redemption or liquidation. The Company may call the warrants for redemption, in whole and not in part, at a price of $0.01 per warrant, in whole and not in part: • at any time after the warrants become exercisable, • upon not less than 30 days’ prior written notice of redemption to each warrant holder • if, and only if, the reported last sale price of the common stock equals or exceeds $18.00 per share (as adjusted for stock splits, stock dividends, reorganizations, recapitalizations) for any 20 trading days within a 30-trading day period commencing at any time after the warrants become exercisable and ending on the third business day prior to the notice of redemption to warrant holders; and • if, and only if, there is a current registration statement in effect with respect to the shares of common stock underlying such warrants. If the Company calls the warrants for redemption as described above, the Company’s management will have the option to require all holders that wish to exercise warrants to do so on a “cashless basis.” In such event, each holder would pay the exercise price by surrendering the warrants for that number of shares of common stock equal to the quotient obtained by dividing (x) the product of the number of shares of common stock underlying the warrants, multiplied by the difference between the exercise price of the warrants and the “fair market value” (defined below) by (y) the fair market value. The “fair market value” for this purpose shall mean the average reported last sale price of the shares of common stock for the 5 trading days ending on the third trading day prior to the date on which the notice of redemption is sent to the holders of warrants. In addition, if (x) the Company issues additional shares of common stock or equity-linked securities for capital raising purposes in connection with the closing of the initial Business Combination at an issue price or effective issue price of less than $9.20 per share of common stock (with such issue price or effective issue price to be determined in good faith by the Company’s board of directors, and in the case of any such issuance to the Sponsor, initial stockholders or their affiliates, without taking into account any founders’ shares held by them prior to such issuance), (y) the aggregate gross proceeds from such issuances represent more than 60% of the total equity proceeds, and interest thereon, available for the funding of the initial Business Combination on the date of the consummation of the initial Business Combination (net of redemptions), and (z) the Market Value is below $9.20 per share, the exercise price of the warrants will be adjusted (to the nearest cent) to be equal to 115% of the greater of (i) the Market Value or (ii) the price at which the Company issues the additional shares of common stock or equity-linked securities. | Note 6 — Stockholders’ Equity Preferred stock The Company is authorized to issue 1,000,000 shares of preferred stock with a par value of $0.0001 and with such designations, voting and other rights and preferences as may be determined from time to time by the Company’s board of directors. As of September 30, 2023 and 2022, there were no shares of preferred stock issued or outstanding. Common stock The Company is authorized to issue 100,000,000 shares of common stock with a par value of $0.0001 per share. At September 30, 2023 and 2022, there were 5,709,500 shares of common stock issued and outstanding, excluding 2,363,349 and 15,000,000 shares subject to redemption, respectively. On February 3, 2021, affiliates of the Sponsor paid $25,000, or approximately $0.006 per share, to cover certain offering costs in consideration for 4,312,500 Founder Shares. On February 8, 2021, EarlyBirdCapital, Inc. and Northland purchased 162,500 and 87,500 representative shares, respectively, at an average purchase price of approximately $0.0001 per share, or an aggregate purchase price of $25.00. On May 29, 2021, Northland returned 87,500 shares of common stock to the Company, for no consideration, which were subsequently cancelled and on June 16, 2021, the Sponsor purchased an additional 700,000 shares of common stock at a purchase price of $0.006 per share, resulting in the Sponsor holding an aggregate of 5,012,500 shares of common stock. On June 16, 2021, the Sponsor transferred 50,000 shares to its Chief Executive Officer and to its President and 35,000 shares to each of its three outside directors. The Founder Shares included an aggregate of up to 1,125,000 shares subject to forfeiture by the Sponsor to the extent that the underwriters’ over-allotment option was not exercised in full or in part. On October 1, 2021 the underwriter’s over-allotment option expired unused resulting in 1,125,000 founder shares forfeited to the Company for no consideration. Common stockholders of record are entitled to one vote for each share held on all matters to be voted on by stockholders. In connection with any vote held to approve the initial Business Combination, the Sponsor, as well as all of the Company’s officers and directors, have agreed to vote their respective shares of common stock owned by them immediately prior to the IPO and any shares purchased in the IPO or following the IPO in the open market in favor of the proposed Business Combination. Warrants Each whole warrant entitles the holder to purchase one share of common stock at a price of $11.50 per share, subject to adjustment as discussed herein. The warrants will become exercisable 30 days after the completion of the Company’s initial Business Combination. However, no warrants will be exercisable for cash unless the Company has an effective and current registration statement covering the shares of common stock issuable upon exercise of the warrants and a current prospectus relating to such shares of common stock. Notwithstanding the foregoing, if a registration statement covering the shares of common stock issuable upon exercise of the public warrants is not effective within 90 days following the consummation of the initial Business Combination, warrant holders may, until such time as there is an effective registration statement and during any period when the Company shall have failed to maintain an effective registration statement, exercise warrants on a cashless basis pursuant to the exemption provided by Section 3(a)(9) of the Securities Act, provided that such exemption is available. If that exemption, or another exemption, is not available, holders will not be able to exercise their warrants on a cashless basis. In the event of such cashless exercise, each holder would pay the exercise price by surrendering the warrants for that number of shares of common stock equal to the quotient obtained by dividing (x) the product of the number of shares of common stock underlying the warrants, multiplied by the difference between the exercise price of the warrants and the “fair market value” (defined below) by (y) the fair market value. The “fair market value” for this purpose will mean the average reported last sale price of the shares of common stock for the 5 trading days ending on the trading day prior to the date of exercise. The warrants will expire on the fifth anniversary of the completion of an initial Business Combination, at 5:00 p.m., New York City time, or earlier upon redemption or liquidation. The Company may call the warrants for redemption, in whole and not in part, at a price of $0.01 per warrant, in whole and not in part: • at any time after the warrants become exercisable, • upon not less than 30 days’ prior written notice of redemption to each warrant holder • if, and only if, the reported last sale price of the common stock equals or exceeds $18.00 per share (as adjusted for stock splits, stock dividends, reorganizations, recapitalizations) for any 20 trading days within a 30-trading day period commencing at any time after the warrants become exercisable and ending on the third business day prior to the notice of redemption to warrant holders; and • if, and only if, there is a current registration statement in effect with respect to the shares of common stock underlying such warrants. If the Company calls the warrants for redemption as described above, the Company’s management will have the option to require all holders that wish to exercise warrants to do so on a “cashless basis.” In such event, each holder would pay the exercise price by surrendering the warrants for that number of shares of common stock equal to the quotient obtained by dividing (x) the product of the number of shares of common stock underlying the warrants, multiplied by the difference between the exercise price of the warrants and the “fair market value” (defined below) by (y) the fair market value. The “fair market value” for this purpose shall mean the average reported last sale price of the shares of common stock for the 5 trading days ending on the third trading day prior to the date on which the notice of redemption is sent to the holders of warrants. In addition, if (x) the Company issues additional shares of common stock or equity-linked securities for capital raising purposes in connection with the closing of the initial Business Combination at an issue price or effective issue price of less than $9.20 per share of common stock (with such issue price or effective issue price to be determined in good faith by the Company’s board of directors, and in the case of any such issuance to the Sponsor, initial stockholders or their affiliates, without taking into account any founders’ shares held by them prior to such issuance), (y) the aggregate gross proceeds from such issuances represent more than 60% of the total equity proceeds, and interest thereon, available for the funding of the initial Business Combination on the date of the consummation of the initial Business Combination (net of redemptions), and (z) the Market Value is below $9.20 per share, the exercise price of the warrants will be adjusted (to the nearest cent) to be equal to 115% of the greater of (i) the Market Value or (ii) the price at which the Company issues the additional shares of common stock or equity-linked securities.

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