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Related Party Transactions - Narrative (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Nov. 09, 2022
Related Party Transaction [Line Items]      
Total revenue $ 10,244 $ 9,646  
Notes receivable, commitment to purchase     $ 5,500
Sale of private placement warrants (in shares)     316,250
Class of warrant or right, exercise price of warrants or rights (in dollars per share)     $ 0.01
Senior Secured Notes Receivable      
Related Party Transaction [Line Items]      
Approval of note holders to amend agreement     66.66%
One Tranche Of Notes      
Related Party Transaction [Line Items]      
Sale of private placement warrants (in shares)     575,000
Amount of Notes purchased     $ 10,000
LanzaJet Freedom Pines Fuels LLC      
Related Party Transaction [Line Items]      
Notes receivable, aggregate principal amount     147,000
LanzaJet Freedom Pines Fuels LLC | Senior Secured Notes Receivable      
Related Party Transaction [Line Items]      
Notes receivable, aggregate principal amount     $ 113,500
Line of credit facility, interest rate     6.00%
LanzaJet Freedom Pines Fuels LLC | Subordinated Secured Notes Receivable      
Related Party Transaction [Line Items]      
Notes receivable, aggregate principal amount     $ 33,500
Line of credit facility, interest rate     6.00%
Related Party Transition Services Agreement | Equity Method Investee      
Related Party Transaction [Line Items]      
Total revenue 31 45  
Related Party Investment Agreement | Equity Method Investee      
Related Party Transaction [Line Items]      
Total revenue 12 338  
Deferred profit recognized 58    
Related Party Supply Agreement | Equity Method Investee      
Related Party Transaction [Line Items]      
Total revenue 51 0  
Cost incurred $ 185 $ 249