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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
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