v3.26.3
Shareholders' Deficit - Armada - Annual - Additional Information (Detail) - $ / shares
 9 Months Ended 12 Months Ended
Oct. 19, 2025
Jun. 30, 2026
Sep. 30, 2025
Mar. 31, 2026
Dec. 31, 2025
Sep. 09, 2025
Aug. 29, 2025
Aug. 28, 2025
Jun. 30, 2025
Mar. 31, 2025
Dec. 31, 2024
Oct. 02, 2024
Stockholders Equity Note [Line Items]                        
Common stock, authorized (in shares)   1,000 1,000   1,000              
Common stock, par value (in usd per share)   $ 0.001 $ 0.001   $ 0.001              
Common stock, issued (in shares)   1 1   1              
Common stock, outstanding (in shares)   1 1   1              
Armada Acquisition Corp. II                        
Stockholders Equity Note [Line Items]                        
Preferred stock shares authorized (in shares)   1,000,000 1,000,000                  
Preferred stock shares issued (in shares)   0 0                  
Preferred stock shares outstanding (in shares)   0 0                  
Common stock, par value (in usd per share)           $ 0.10            
Temporary equity shares outstanding (in shares)   23,000,000 23,000,000                  
Common stock, outstanding (in shares) 0                      
Common stock voting rights Each share of Pubco Class Common A Stock will be entitled to one vote per share                      
Class A ordinary shares | Armada Acquisition Corp. II                        
Stockholders Equity Note [Line Items]                        
Common stock, authorized (in shares)   200,000,000 200,000,000                  
Common stock, par value (in usd per share)   $ 0.0001 $ 0.0001         $ 0.0001        
Common stock, issued (in shares)   710,000 710,000         400,000        
Common stock, outstanding (in shares) 120,000 710,000 710,000                  
Class B ordinary shares | Armada Acquisition Corp. II                        
Stockholders Equity Note [Line Items]                        
Common stock, authorized (in shares)   20,000,000 20,000,000                  
Common stock, par value (in usd per share)   $ 0.0001 $ 0.0001         $ 0.0001        
Common stock, issued (in shares)   7,880,000 7,880,000         7,880,000        
Common stock, outstanding (in shares) 2,364,000 7,880,000 7,880,000                  
Preferred stock [Member] | Armada Acquisition Corp. II                        
Stockholders Equity Note [Line Items]                        
Preferred stock shares authorized (in shares)   1,000,000 1,000,000                  
Preferred stock shares issued (in shares)   0 0                  
Preferred stock shares outstanding (in shares)   0 0                  
Common stock [Member]                        
Stockholders Equity Note [Line Items]                        
Common stock, outstanding (in shares)   1     1   0          
Common stock [Member] | Class A ordinary shares | Armada Acquisition Corp. II                        
Stockholders Equity Note [Line Items]                        
Common stock, authorized (in shares)   200,000,000 200,000,000                  
Common stock, par value (in usd per share)   $ 0.0001 $ 0.0001                  
Common stock, issued (in shares)   710,000 710,000 710,000 710,000       710,000 0 0 0
Temporary equity shares outstanding (in shares)   23,000,000 23,000,000                  
Common stock, outstanding (in shares)   710,000 710,000                  
Common stock voting rights   All Class A shares are entitled to one vote per share. All Class A shares are entitled to one vote per share.                  
Common stock [Member] | Class B ordinary shares | Armada Acquisition Corp. II                        
Stockholders Equity Note [Line Items]                        
Common stock, authorized (in shares)   20,000,000 20,000,000                  
Common stock, par value (in usd per share)   $ 0.0001 $ 0.0001                  
Common stock, issued (in shares)   7,880,000 7,880,000 7,880,000 7,880,000       7,880,000 7,880,000 7,880,000 0
Common stock, outstanding (in shares)   7,880,000 7,880,000                  
Common stock voting rights   All Class B shares are entitled to one vote per share. All Class B shares are entitled to one vote per share.