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Commitments and Contingencies (Details Narrative) - USD ($) |  |  |  |  |  |  |  |  |  |  |  |  | 1 Months Ended | 3 Months Ended | 6 Months Ended | 9 Months Ended | 12 Months Ended | 14 Months Ended
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Feb. 15, 2024 | Feb. 09, 2024 | Feb. 02, 2024 | Aug. 02, 2023 | Feb. 23, 2023 | Feb. 02, 2023 | Jan. 20, 2023 | Oct. 02, 2021 | Aug. 18, 2021 | Aug. 17, 2021 | May 29, 2021 | May 29, 2021 | Feb. 08, 2021 | Feb. 08, 2021 | Aug. 31, 2023 | Jun. 30, 2024 | Dec. 31, 2023 | Mar. 31, 2024 | Jun. 30, 2024 | Jun. 20, 2024 | Sep. 30, 2023 | Sep. 30, 2022 | Dec. 31, 2022
Subsequent Event [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Redemption price |  | $ 10.98 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Underwriting discount percentage |  |  |  |  |  |  |  |  |  | 1.00% |  |  |  |  |  |  |  |  |  |  |  |  |
Underwriting commissions |  |  |  |  |  |  |  |  |  | $ 1,500,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Deferred underwriting commission payable |  |  |  |  |  |  |  |  |  | $ 225,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Deferred underwriting commission expired |  |  |  |  |  |  |  | $ 225,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Advisory fee percentage for initial public offering |  |  |  |  |  |  |  |  |  | 1.00% |  |  |  |  |  |  |  |  |  |  |  |  |
Advisory fee for IPO amount if underwriters' option is not exercised |  |  |  |  |  |  |  |  |  | $ 1,500,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Advisory fee paid |  |  |  |  |  |  |  |  | $ 1,500,000 | 1,500,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Advisory fee for business combination amount if underwriters' option is not exercised |  |  |  |  |  |  |  |  |  | $ 3,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Marketing agreement fee percentage for business combination |  |  |  |  |  |  |  |  |  | 2.25% |  |  |  |  |  |  |  |  |  |  |  |  |
Marketing agreement fee for business combination amount if underwriters' option is not exercised |  |  |  |  |  |  |  |  |  | $ 3,375,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Capital market advisory fee for business combination |  |  |  |  |  |  |  |  |  | $ 2,500,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Cash fee percentage for target business introduction in business combination |  |  |  |  |  |  |  |  |  | 1.00% |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of representative shares, shares |  |  |  |  |  |  |  |  |  |  |  |  |  | 162,500 |  |  |  |  |  |  |  |  |
Long term purchase commitment amount paid |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 120,000 |
Long-term purchase commitment, amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 1,030,000 | $ 1,030,000 | $ 1,030,000 |  | $ 1,030,000 |  |
Threshold date for consummation of business combination |  |  |  | Feb. 17, 2024 |  | Aug. 17, 2023 |  |  |  | Feb. 17, 2023 |  |  |  |  |  | Feb. 17, 2023 | Feb. 17, 2023 |  | Feb. 17, 2023 |  | Feb. 17, 2023 |  |
Redemption price | $ 10.98 |  |  | $ 10.56 |  | $ 10.19 |  |  |  |  |  |  |  |  |  | $ 11.31 | $ 10.91 | $ 11.11 | $ 11.31 |  | $ 10.71 | $ 10.04 |
Temporary equity shares redeemed during the period shares | 945,662 | 945,662 |  | 1,145,503 |  | 11,491,148 |  |  |  |  |  |  |  |  | 1,145,503 |  |  |  |  |  |  |  |
Armada Acquisition Corp I [Member] | ICR LLC [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related party transaction, amounts of transaction monthly fee |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 10,400
Armada Acquisition Corp I [Member] | Subsequent Event [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from other debts |  |  | $ 2,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other commitement |  |  | 2,500,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Redemption price | $ 10.98 | $ 10.98 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Temporary equity shares redeemed during the period shares | 945,662 | 945,662 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Armada Acquisition Corp I [Member] | Representative Shares [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued, price per share |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.0001 | $ 0.0001 |  |  |  |  |  |  |  |  |
Issuance of representative shares, shares |  |  |  |  |  |  |  |  |  |  |  | 87,500 | 162,500 | 87,500 |  |  |  |  |  |  |  |  |
Armada Acquisition Corp I [Member] | Northland Securities, Inc. [Member] | Representative Shares [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of representative shares, shares |  |  |  |  |  |  |  |  |  |  | 87,500 |  |  | 87,500 |  |  |  |  |  |  |  |  |
Armada Acquisition Corp I [Member] | Hallum Capital Group LLC [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Advisory fee payable on consummation of business combination |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 500,000 | $ 500,000 | $ 500,000 | $ 500,000 |  | $ 500,000 |  |
Armada Acquisition Corp I [Member] | D A Davidson And Co [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Advisory fee payable on consummation of business combination |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 600,000 | 600,000 | 600,000 | 600,000 |  | 600,000 |  |
Armada Acquisition Corp I [Member] | Termination or Closing of Initial Business Combination [Member] | ICR LLC [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other liabilities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 145,600 | 145,600 | 145,600 | 145,600 |  | 145,600 |  |
Armada Acquisition Corp I [Member] | Additional Liabilities Upon the Closing of the Initial Business Combination [Member] | ICR LLC [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other liabilities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 145,600 | 145,600 | 145,600 | 145,600 |  | 145,600 |  |
Armada Acquisition Corp I [Member] | Initial Business Combination [Member] | Bishop IR [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Success fee payable |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 100,000 | $ 100,000 | $ 100,000 | $ 100,000 |  | $ 100,000 |  |
Related party transaction, amounts of transaction monthly fee |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 8,000 |  |  |
Armada Acquisition Corp I [Member] | Initial Business Combination [Member] | Subsequent Event [Member] | Bishop IR [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related party transaction, amounts of transaction monthly fee |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 8,000 |  |  |
Armada Acquisition Corp I [Member] | Maximum [Member] | Initial Business Combination [Member] | Bishop IR [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related party transaction, amounts of transaction monthly fee |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 12,000 |  |  |
Armada Acquisition Corp I [Member] | Maximum [Member] | Initial Business Combination [Member] | Subsequent Event [Member] | Bishop IR [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related party transaction, amounts of transaction monthly fee |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 12,000 |  |  |
Armada Acquisition Corp I [Member] | Prepaid Advance Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from other debts |  |  | 2,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other commitement |  |  | 2,500,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Armada Acquisition Corp I [Member] | Prepaid Advance Agreement [Member] | Subsequent Event [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from other debts |  |  | 2,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other commitement |  |  | $ 2,500,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Armada Acquisition Corp I [Member] | Amended and Restated Business Combination Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Advisory fee for business combination amount if underwriters' option is not exercised |  |  |  |  |  |  |  |  |  | $ 8,750,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Armada Acquisition Corp I [Member] | Purchase Agreement [Member] | YA II PN, Ltd. [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Value of ordinary shares expected to issue |  |  |  |  | $ 250,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Armada Acquisition Corp I [Member] | Non Redemption Agreements [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Threshold date for consummation of business combination |  |  |  |  |  |  | Aug. 17, 2023 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Redemption price |  |  |  |  |  | $ 10.19 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Temporary equity shares redeemed during the period shares |  |  |  |  |  | 11,491,148 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of shares allocated in exchange for non redeemption of public shares |  |  |  |  |  |  | 75,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Armada Acquisition Corp I [Member] | Non Redemption Agreements [Member] | Sponsor [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Redemption price |  |  |  |  |  |  | $ 1.55 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Temporary equity shares redeemed during the period value |  |  |  |  |  |  | $ 1,102,909 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Temporary equity shares redeemed during the period shares |  |  |  |  |  |  | 713,057 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |

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- Definition Amount to be paid per share that is classified as temporary equity by entity upon redemption. Temporary equity is a security with redemption features that are outside the control of the issuer, is not classified as an asset or liability in conformity with GAAP, and is not mandatorily redeemable. Includes any type of security that is redeemable at a fixed or determinable price or on a fixed or determinable date or dates, is redeemable at the option of the holder, or has conditions for redemption which are not solely within the control of the issuer. If convertible, the issuer does not control the actions or events necessary to issue the maximum number of shares that could be required to be delivered under the conversion option if the holder exercises the option to convert the stock to another class of equity. If the security is a warrant or a rights issue, the warrant or rights issue is considered to be temporary equity if the issuer cannot demonstrate that it would be able to deliver upon the exercise of the option by the holder in all cases. Includes stock with put option held by ESOP and stock redeemable by holder only in the event of a change in control of the issuer. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(27)) -SubTopic 10 -Topic 210 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 480 -SubTopic 10 -Section S99 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480244/480-10-S99-1 + Details
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