v3.26.3
Summary of Significant Accounting Policies - Armada - Interim - Summary of Basic and Diluted Net Income Per Ordinary Share (Detail) - USD ($)
3 Months Ended 4 Months Ended 6 Months Ended 9 Months Ended 12 Months Ended
Jun. 30, 2026
Jun. 30, 2025
Dec. 31, 2025
Jun. 30, 2026
Jun. 30, 2026
Jun. 30, 2025
Sep. 30, 2025
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]              
Basic (in shares)     1 1      
Basic (in usd per share)     $ (152,717,402) $ (188,134,733)      
Diluted (in shares)     1 1      
Diluted (in usd per share)     $ (152,717,402) $ (188,134,733)      
Class A - Redeemable              
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]              
Allocation of net income $ 1,183,366 $ 484,702     $ 1,567,466 $ 247,050  
Diluted (in shares) 23,000,000 9,857,143     23,000,000 3,322,222  
Diluted (in usd per share) $ 0.05 $ 0.05     $ 0.07 $ 0.07  
Class A - Redeemable | Armada Acquisition Corp. II              
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]              
Allocation of net income $ 1,183,366 $ 501,013     $ 1,567,466 $ 267,888 $ 933,203
Basic (in shares) 23,000,000 9,857,143     23,000,000 3,322,222 8,323,204
Basic (in usd per share) $ 0.05 $ 0.05     $ 0.07 $ 0.08 $ 0.11
Allocation of net income             $ 896,018
Diluted (in shares)             8,323,204
Diluted (in usd per share)             $ 0.11
Class A & B - Non-redeemable              
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]              
Allocation of net income $ 441,961 $ 402,444     $ 585,414 $ 593,606  
Diluted (in shares) 8,590,000 8,184,286     8,590,000 7,982,556  
Diluted (in usd per share) $ 0.05 $ 0.05     $ 0.07 $ 0.07  
Class A & B - Non-redeemable | Armada Acquisition Corp. II              
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]              
Allocation of net income $ 441,961 $ 386,133     $ 585,414 $ 572,768 $ 838,780
Basic (in shares) 8,590,000 7,596,957     8,590,000 7,103,193 7,481,056
Basic (in usd per share) $ 0.05 $ 0.05     $ 0.07 $ 0.08 $ 0.11
Allocation of net income             $ 875,965
Diluted (in shares)             8,136,934
Diluted (in usd per share)             $ 0.11