v3.26.3
Initial Public Offering - Armada - Annual - Additional Information (Detail) - USD ($)
 3 Months Ended 9 Months Ended 12 Months Ended
Aug. 28, 2025
May 22, 2025
Sep. 30, 2025
Jun. 30, 2026
Sep. 30, 2025
Dec. 31, 2025
Oct. 19, 2025
Sep. 09, 2025
Subsidiary, Sale of Stock [Line Items]                
Common stock, issued (in shares)     1 1 1 1    
Common stock, par value (in usd per share)     $ 0.001 $ 0.001 $ 0.001 $ 0.001    
Armada Acquisition Corp. II                
Subsidiary, Sale of Stock [Line Items]                
Proceeds from issuance initial public offering   $ 230,000,000            
Class of warrant or right, exercise price of warrants or rights (in usd per share)     $ 11.50 $ 11.50 $ 11.50   $ 11.50  
Common stock, par value (in usd per share)               $ 0.10
Class of warrant or right, outstanding (in shares)     11,500,000 11,500,000 11,500,000      
Proceeds from issuance of warrants         $ 3,565,000      
Common stock issue price per share below which triggers warrant adjustment (in usd per share)     $ 9.20 $ 9.20 $ 9.20      
Percentage of available equity proceeds below specified price which triggers warrant adjustment     60.00% 60.00% 60.00%      
Common stock market value per share below which triggers warrant adjustment (in usd per share)     $ 9.20 $ 9.20 $ 9.20      
Warrants convertible stock price trigger (in usd per share)     $ 18.00 $ 18.00        
Percentage of market value for warrant exercise price adjustment     115.00% 115.00% 115.00%      
Warrants redemption price per share (in usd per share)       $ 0.01 $ 0.01      
Notice period for warrants redemption       30 days 30 days      
Common stock share price per share for warrants redemption (in usd per share)     $ 18.00 $ 18.00 $ 18.00      
Period of trading days within specified window for minimum common stock price for warrants redemption       20 days 20 days      
Period of trading days within specified window for minimum common stock price for warrants redemption       30 days 30 days      
Private placement warrants | Armada Acquisition Corp. II                
Subsidiary, Sale of Stock [Line Items]                
Class of warrant or right, outstanding (in shares) 200,000   355,000 355,000 355,000   60,000  
Proceeds from issuance of warrants $ 6,600,000              
Over-allotment option                
Subsidiary, Sale of Stock [Line Items]                
Common stock, par value (in usd per share)   $ 10.00            
Over-allotment option | Armada Acquisition Corp. II                
Subsidiary, Sale of Stock [Line Items]                
Price per share (usd per share)   0.0001            
Common stock, par value (in usd per share)   $ 10.00            
Units | IPO | Armada Acquisition Corp. II                
Subsidiary, Sale of Stock [Line Items]                
Stock issued during period shares new issues (in shares)   23,000,000            
Price per share (usd per share)   $ 10.00            
Proceeds from issuance initial public offering   $ 230,000,000            
Units | Over-allotment option | Armada Acquisition Corp. II                
Subsidiary, Sale of Stock [Line Items]                
Stock issued during period shares stock options exercised (in shares)   3,000,000            
Warrant | Over-allotment option | Armada Acquisition Corp. II                
Subsidiary, Sale of Stock [Line Items]                
Class of warrant or right, exercise price of warrants or rights (in usd per share)   $ 11.50 $ 11.50 $ 11.50 $ 11.50      
Class B ordinary shares | Armada Acquisition Corp. II                
Subsidiary, Sale of Stock [Line Items]                
Common stock, issued (in shares) 7,880,000   7,880,000 7,880,000 7,880,000      
Common stock, par value (in usd per share) $ 0.0001   $ 0.0001 $ 0.0001 $ 0.0001      
Class A ordinary shares | Armada Acquisition Corp. II                
Subsidiary, Sale of Stock [Line Items]                
Common stock, issued (in shares) 400,000   710,000 710,000 710,000      
Common stock, par value (in usd per share) $ 0.0001   $ 0.0001 $ 0.0001 $ 0.0001