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Recurring Fair Value Measurements - Summary of fair value measurements with carrying value approximating fair value (Details) - Armada Acquisition Corp I [Member] - USD ($) | Jun. 30, 2024 | Mar. 31, 2024 | Dec. 31, 2023 | Sep. 30, 2023
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Interest bearing demand deposit account [Member] |  |  |  |
Disclosure In Tabular Form Of Debt Securities Trading Fair Value To Amortized Cost [Line Items] |  |  |  |
Carrying Value as of September 30, 2023 |  |  |  | $ 25,324,028
Gross Unrealized Gains |  |  |  | 0
Gross Unrealized Losses |  |  |  | 0
Fair Value as of September 30, 2023 |  |  |  | 25,324,028
Fair Value, Recurring [Member] | Fair Value, Inputs, Level 1 [Member] |  |  |  |
Disclosure In Tabular Form Of Debt Securities Trading Fair Value To Amortized Cost [Line Items] |  |  |  |
Interest-bearing demand deposit account | $ 16,126,337 | $ 15,771,190 | $ 25,324,028 | $ 25,324,028

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