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Stockholders’ Deficit - Narrative (Details)
12 Months Ended
Oct. 21, 2025
$ / shares
Oct. 20, 2025
$ / shares
Sep. 23, 2025
shares
Dec. 31, 2025
$ / shares
shares
Sep. 30, 2025
vote
$ / shares
shares
Dec. 31, 2024
$ / shares
shares
Temporary Equity [Line Items]            
Common stock and preferred stock, shares authorized (in shares) | shares         2,000,000,000  
Common stock, shares authorized (in shares) | shares       1,980,000,000 1,980,000,000 265,000,000
Common stock, par value (in dollars per share)       $ 0.0001 $ 0.0001 $ 0.0001
Preferred stock, shares authorized (in shares) | shares         20,000,000  
Preferred stock, par value (in dollars per share)         $ 0.0001  
Common stock, number of votes per share | vote         1  
Public and Private Placement Warrants            
Temporary Equity [Line Items]            
Period in which stock must reach mandatory closing price (in days) 20 days          
Warrant exercise price (in dollars per share) $ 9.28 $ 11.50        
Warrants, redemption trigger price (in dollars per share) 14.53 18.00        
Warrant, market value (in dollars per share) $ 8.07          
Warrants, adjusted exercise price, percentage of market value 115.00%          
Warrants, adjusted redemption trigger price, percentage of market value 1.80          
Public Warrants            
Temporary Equity [Line Items]            
Sale of stock, price per share (in dollars per share)   $ 18.00        
Period in which stock must reach mandatory closing price (in days)   20 days        
Maximum period in which stock can reach mandatory closing price (in days)   30 days        
Period for prior written notice before redemption (in days)   30 days        
Warrants, redemption price (in dollars per share)   $ 0.01        
Warrant exercise price (in dollars per share)       9.28    
Private Placement Warrants            
Temporary Equity [Line Items]            
Warrant exercise price (in dollars per share)       $ 9.28    
Transferable, assignable, or salable, period following closing (in days)       30 days    
Legacy Kodiak Common Stock Warrants            
Temporary Equity [Line Items]            
Conversion of redeemable convertible preferred stock in connection with reverse recapitalization/Issuance of common stock upon exercise of common stock warrants (in shares) | shares     933,626