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Organization, Business Operations and Going Concern (Details Narrative) - USD ($) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 3 Months Ended | 6 Months Ended | 9 Months Ended | 12 Months Ended |  |  |  |  |  |  |  |  |  |
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Jul. 17, 2024 | Jul. 16, 2024 | Jun. 17, 2024 | Jun. 15, 2024 | May 17, 2024 | May 15, 2024 | Apr. 16, 2024 | Mar. 13, 2024 | Feb. 17, 2024 | Feb. 16, 2024 | Feb. 13, 2024 | Jan. 16, 2024 | Dec. 19, 2023 | Dec. 15, 2023 | Nov. 09, 2023 | Oct. 11, 2023 | Oct. 10, 2023 | Sep. 12, 2023 | Sep. 08, 2023 | Aug. 08, 2023 | Aug. 02, 2023 | Feb. 02, 2023 | Nov. 10, 2022 | Aug. 17, 2021 | Jun. 30, 2024 | Dec. 31, 2023 | Jun. 30, 2024 | Mar. 31, 2024 | Jun. 30, 2024 | Dec. 31, 2023 | Sep. 30, 2023 | Aug. 14, 2024 | Jul. 30, 2024 | Feb. 15, 2024 | Feb. 09, 2024 | Nov. 20, 2023 | Aug. 04, 2023 | Jul. 28, 2023 | Dec. 31, 2022 | Sep. 30, 2022 | May 09, 2022
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Date of incorporation |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | Jan. 05, 2023 |  |  | Jan. 05, 2023 |  |  |  |  |  |  |  |  |  |  |
Excise tax payable |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 188,766 |  |  |  | $ 188,766 |  |  |  |  |  |  |  |  | $ 11,515 |  |
Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Date of incorporation |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | Nov. 05, 2020 |  | Nov. 05, 2020 | Nov. 05, 2020 |  | Nov. 05, 2020 |  |  |  |  |  |  |  |  |  |
Transaction costs |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 3,537,515 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Underwriting commissions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,500,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other offering costs |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 2,037,515 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds held in trust account |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 150,000,000 | $ 16,126,337 | $ 25,871,565 | $ 16,126,337 | $ 15,771,190 | $ 16,126,337 | 25,871,565 | $ 25,324,028 |  |  |  |  |  |  |  |  | $ 150,844,925 |
Trust assets value per unit |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 10 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Maturity period of government securities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 185 days |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Redemption outstanding public shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 100.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of trust assets for acquisition |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 80.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of ownership for acquisition |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 50.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net tangible assets for acquisition |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 5,000,001 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Extended period from IPO closing to complete acquisition |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 18 months |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of public shares to be redeemed |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 100.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Interest amount to pay dissolution expenses |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 100,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Minimum trust proceeds per share |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 10 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Operating account |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 13,242 | $ 54,000 | 13,242 | 107,722 | $ 13,242 | 54,000 | $ 60,000 |  |  |  |  |  |  |  |  |  |
Aggregate loaned amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 79,099 | $ 20,840 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 125,245 |  |  |
Payment to acquire restricted investments |  |  |  |  |  |  |  |  |  |  |  | $ 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Minimum net worth required for compliance |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 5,000,001 |  |  |  |
Amount deposited into trust account |  |  |  |  |  |  |  |  | $ 248,095 |  |  |  |  |  |  |  |  |  |  |  | $ 354,502 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, interest rate, stated percentage |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.00% |  |  |  |  |  |  |
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 |  |  |  |  |  |  |  |  |  |
Number of days prior to the threhold date of completion of business combination in which the business combination agreement could be terminated |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 15 days |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net working capital excluding income tax and franchise tax payable |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 10,900,000 | $ 9,100,000 | 10,900,000 | 9,700,000 | $ 10,900,000 | 9,100,000 | $ 8,500,000 |  |  |  |  |  |  |  |  |  |
Percentage of redeemption of public shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 100.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Excise tax payable |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,395,596 | 1,291,751 | 1,395,596 | 1,395,596 | $ 1,395,596 | 1,291,751 | 1,291,751 |  |  |  |  |  |  |  |  | 0 |
Armada Acquisition Corp I [Member] | First Amendment To The Business Combination Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Threshold date for termination of business combination agreement |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | Jan. 31, 2023 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Extension Note [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Aggregate loaned amount |  |  |  |  |  |  |  |  |  |  |  |  | $ 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Unsecured Promissory Note [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Aggregate loaned amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 425,402 |  |  |  |  |  |  |  |  |  |  |  |  | $ 297,714 |  |  |  |  |  |  |
Debt instrument, interest rate, stated percentage |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.00% |  |  |  |  |  |  |  |  |  |  |  |  | 0.00% |  |  |  |  |  |  |
Tranche One [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments |  |  |  |  |  |  |  |  |  |  |  |  | 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Tranche One [Member] | Armada Acquisition Corp I [Member] | Subscription Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments |  |  |  |  |  |  |  |  |  |  |  | 70,900 | 70,900 | $ 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Tranche One [Member] | Extension Note [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments |  |  |  |  |  |  |  |  |  |  | $ 49,619 |  |  |  |  |  |  |  |  | $ 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Tranche Two [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments |  |  |  | $ 49,619 |  | $ 49,619 | $ 49,619 | $ 49,619 |  | $ 49,619 |  | 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Tranche Two [Member] | Armada Acquisition Corp I [Member] | Subscription Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments |  |  |  |  |  |  | 49,619 |  |  |  |  | 70,900 | $ 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Tranche Two [Member] | Extension Note [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments |  |  |  |  |  |  |  | $ 49,619 |  |  |  |  |  |  |  |  |  | $ 70,900 | 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Tranche Three [Member] | Extension Note [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments |  |  |  |  | $ 49,619 |  |  |  |  |  |  |  |  |  | $ 70,900 | $ 70,900 |  |  | $ 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Tranche Four [Member] | Extension Note [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments |  |  | $ 49,619 |  |  |  |  |  |  |  |  |  |  |  |  | 70,900 | $ 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Tranche Five [Member] | Extension Note [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
First Of November Two Thousand And Twenty Four [Member] | Inflation Reduction Act [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Interest and penalties percentage |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 10.00% |  |  |  |  |  |  |  |  |  |  |  |
Monthly penalty percentage for underpayment of taxes |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 5.00% |  |  |  |  |  |  |  |  |  |  |  |
Percentage of total tax liability for which the penalty is applicable |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 25.00% |  |  |  |  |  |  |  |  |  |  |  |
Subsequent Event [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Aggregate loaned amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 7,500,000 | $ 5,141,250 |  |  | $ 12,510 |  |  |  |  |
Amount deposited into trust account |  |  |  |  |  |  |  |  | 248,095 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, interest rate, stated percentage |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.00% |  |  |  |  |  |
Subsequent Event [Member] | Unsecured Promissory Note [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Aggregate loaned amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 297,714 |  |  |  |  |  |  |
Debt instrument, interest rate, stated percentage |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.00% |  |  |  |  |  |  |
Subsequent Event [Member] | Tranche Two [Member] | Armada Acquisition Corp I [Member] | Subscription Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments | $ 49,619 |  |  |  |  |  | $ 49,619 |  |  | $ 49,619 |  | $ 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Subsequent Event [Member] | Tranche Four [Member] | Extension Note [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Subsequent Event [Member] | Tranche Five [Member] | Extension Note [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire restricted investments |  | $ 49,619 |  |  |  |  |  |  |  |  |  |  |  |  | $ 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party [Member] | Armada Acquisition Corp I [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Note payable to related parties |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 3,056,726 | 2,776,600 | 3,056,726 | 2,776,600 | $ 3,056,726 | 2,776,600 | 2,564,439 |  |  |  |  |  |  |  |  | $ 251,754 | $ 483,034
Subscription agreement liability |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 354,503 | $ 6,752 | $ 354,503 | $ 129,738 | $ 354,503 | $ 6,752 | $ 0 |  |  |  |  |  |  |  |  |  |
Amount deposited into trust account |  |  |  |  |  |  |  |  | $ 248,095 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |

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