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Basis of Presentation and Summary of Significant Accounting Policies (Details) - USD ($)
2 Months Ended 3 Months Ended 6 Months Ended 9 Months Ended 11 Months Ended 12 Months Ended
Jan. 31, 2021
Mar. 31, 2021
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Cash equivalents     $ 0     $ 0   $ 0 $ 0    
Effective tax rate           0.00% 0.00% 0.00% 0.00% 0.00%  
Statutory tax rate (as a percent) 21.00% 21.00% 21.00%   21.00% 21.00%   21.00% 21.00% 28.00%  
Common stock subject to possible redemption, outstanding     29,521,810 29,521,810 29,521,810 29,521,810 29,521,810 29,521,810 29,521,810 25,729,542 23,695,330
Aggregate purchase of stock           34,117,671 33,867,263   34,175,113 30,720,703  
AMCI ACQUISITION CORP. II                      
Effective tax rate 0.00% 0.00% 0.88% 0.00% 0.00% 0.91%          
Class A Common stock                      
Common stock subject to possible redemption, outstanding               15,000,000 15,000,000    
Aggregate purchase of stock           11,000,000   11,000,000      
Class A Common stock | AMCI ACQUISITION CORP. II                      
Common stock subject to possible redemption, outstanding               15,000,000 15,000,000    
Class A Common stock | IPO [Member]                      
Common stock subject to possible redemption, outstanding               15,000,000 15,000,000    
Class A Common Stock Subject to Redemption                      
Common stock subject to possible redemption, outstanding     15,000,000     15,000,000   15,000,000 15,000,000    
Class A Common Stock Subject to Redemption | AMCI ACQUISITION CORP. II                      
Common stock subject to possible redemption, outstanding     15,000,000     15,000,000   15,000,000 15,000,000    
Class A Common Stock Subject to Redemption | IPO [Member]                      
Common stock subject to possible redemption, outstanding     15,000,000     15,000,000