v3.26.1
Shareholders' Deficit (Details) - USD ($)
 1 Months Ended 6 Months Ended
Oct. 01, 2025
Sep. 16, 2025
Sep. 30, 2025
Jun. 30, 2026
Dec. 31, 2025
Oct. 02, 2025
Shareholders’ Deficit [Line Items]            
Preference shares, shares authorized       1,000,000 1,000,000  
Preference shares, par value (in Dollars per share)       $ 0.0001 $ 0.0001  
Preference shares, shares issued        
Preference shares, shares outstanding        
Voting rights       one    
Number of shares issued         34,502,600  
Share price (in Dollars per share)       $ 10    
Aggregate gross proceeds as percentage of total equity proceeds       60.00%    
Redemption price per public warrant (in Dollars per share)       $ 0.01    
Class of warrant prior written notice of redemption       30 days    
Class of warrant trading days       20 days    
Class of warrant completion of an initial business combination term       30 days    
Share Price       $ 10    
Public Warrants [Member]            
Shareholders’ Deficit [Line Items]            
Higher of the market value percentage       115.00%    
Stock price trigger for redemption of public warrants (in Dollars per share)       $ 18    
Market value percentage       180.00%    
Warrant outstanding       5,750,000 5,750,000  
Private Placement Warrants [Member]            
Shareholders’ Deficit [Line Items]            
Exercise price (in Dollars per share)       $ 1    
Warrant outstanding       10,650,000 10,650,000  
Opco            
Shareholders’ Deficit [Line Items]            
Number of shares issued       34,502,600    
Rice Acquisition Corporation 3 [Member]            
Shareholders’ Deficit [Line Items]            
Number of shares issued         34,502,500  
Class A Ordinary Shares [Member]            
Shareholders’ Deficit [Line Items]            
Ordinary shares, shares authorized       300,000,000 300,000,000  
Ordinary shares, par value (in Dollars per share)       $ 0.0001 $ 0.0001  
Ordinary shares, shares issued       2,500 2,500  
Ordinary shares, shares outstanding       2,500 2,500  
Ordinary shares subject to possible redemption       34,500,000 34,500,000  
Common stock owned shares     2,500 2,500    
Class A Ordinary Shares [Member] | Warrant [Member]            
Shareholders’ Deficit [Line Items]            
Exercise price (in Dollars per share)           $ 11.5
Share price (in Dollars per share)       $ 9.2    
Share Price       $ 9.2    
Class A Ordinary Shares [Member] | Sponsor [Member]            
Shareholders’ Deficit [Line Items]            
Number of shares issued       100 100  
Class A Ordinary Shares [Member] | Opco            
Shareholders’ Deficit [Line Items]            
Number of shares issued       100    
Common stock owned shares     100 100    
Class A Ordinary Shares [Member] | Rice Acquisition Corporation 3 [Member]            
Shareholders’ Deficit [Line Items]            
Number of shares issued       34,502,500    
Class B Ordinary Shares [Member]            
Shareholders’ Deficit [Line Items]            
Ordinary shares, shares authorized       30,000,000 30,000,000  
Ordinary shares, par value (in Dollars per share)       $ 0.0001 $ 0.0001  
Ordinary shares, shares issued       11,500,100 11,500,100  
Ordinary shares, shares outstanding       11,500,100 11,500,100  
Voting rights       one    
Capitalization of shares issued     2,012,500      
Class B Ordinary Shares [Member] | Sponsor [Member]            
Shareholders’ Deficit [Line Items]            
Common stock owned shares     11,500,100      
Class B Ordinary Shares [Member] | Opco            
Shareholders’ Deficit [Line Items]            
Number of shares issued       11,500,000    
Common stock owned shares     11,500,000      
Class B Units of Opco [Member]            
Shareholders’ Deficit [Line Items]            
Ordinary shares, shares outstanding       11,500,000    
Capitalization of shares issued     2,012,500      
Class B Units of Opco [Member] | Sponsor [Member]            
Shareholders’ Deficit [Line Items]            
Number of forfeited (in Dollars)   $ 90,000        
Class B Units of Opco [Member] | Independent Directors [Member]            
Shareholders’ Deficit [Line Items]            
Number of issued for services   30,000        
Class A Units of Opco [Member] | Warrant [Member]            
Shareholders’ Deficit [Line Items]            
Share price (in Dollars per share)       $ 9.2    
Share Price       $ 9.2    
Initial Public Offering [Member] | Class A Ordinary Shares [Member] | Warrant [Member]            
Shareholders’ Deficit [Line Items]            
Exercise price (in Dollars per share)           $ 11.5
Initial Public Offering [Member] | Class B Ordinary Shares [Member]            
Shareholders’ Deficit [Line Items]            
Capitalization of shares issued     2,012,500      
Initial Public Offering [Member] | Class B Units of Opco [Member]            
Shareholders’ Deficit [Line Items]            
Capitalization of shares issued 2,012,500