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Subsequent Events (Details) - USD ($)
Oct. 02, 2022
Dec. 07, 2022
Nov. 09, 2022
Sep. 30, 2022
Mar. 08, 2022
Dec. 31, 2021
Dec. 31, 2020
Subsequent Event [Line Items]              
Number of warrants to purchase shares issued       225,223   225,223 383,281
Minimum closing cash condition         $ 250,000,000    
Subsequent Event              
Subsequent Event [Line Items]              
Required equity funding $ 500,000,000            
Initial purchase amount 50,000,000            
Required equity funding for qualifying projects 50,000,000            
Required equity funding for qualifying projects, remaining amount reduction $ 5,000,000            
Notes receivable, commitment to purchase     $ 5,500,000        
Number of warrants to purchase shares issued     316,250        
Minimum closing cash condition   $ 230,000,000          
Sale of stock price (usd per share)   $ 10.00          
Subsequent Event | LanzaJet Freedom Pines Fuels LLC              
Subsequent Event [Line Items]              
Notes receivable, aggregate principal amount     $ 147,000,000        
Subsequent Event | Senior Secured Notes Receivable | LanzaJet Freedom Pines Fuels LLC              
Subsequent Event [Line Items]              
Notes receivable, aggregate principal amount     $ 113,500,000        
Line of credit facility, interest rate     6.00%        
Subsequent Event | Subordinated Secured Notes Receivable | LanzaJet Freedom Pines Fuels LLC              
Subsequent Event [Line Items]              
Notes receivable, aggregate principal amount     $ 33,500,000        
Line of credit facility, interest rate     6.00%        
Subsequent Event | One Tranche Of Notes              
Subsequent Event [Line Items]              
Number of warrants to purchase shares issued     575        
Amount of Notes purchased     $ 10,000