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Income Taxes - Deferred tax assets (Details) - USD ($)
 11 Months Ended 12 Months Ended
Dec. 31, 2021
Dec. 31, 2021
Dec. 31, 2020
Components of Deferred Tax Assets [Abstract]      
Net operating loss carryforward $ 107,979,000 $ 107,979,000 $ 104,301,000
Deferred tax assets, gross 114,881,000 114,881,000 110,417,000
Valuation allowance (113,276,000) (113,276,000) (108,300,000)
Unrecognized tax position 0 0  
Accrued interest and penalties 0 0 $ 0
AMCI ACQUISITION CORP. II      
Components of Deferred Tax Assets [Abstract]      
Start-up/Organization costs 210,307 210,307  
Net operating loss carryforward 79,874 79,874  
Deferred tax assets, gross 290,181 290,181  
Valuation allowance (290,181) (290,181)  
Domestic | AMCI ACQUISITION CORP. II      
Components of Deferred Tax Assets [Abstract]      
Net operating loss carryforward $ 380,351 $ 380,351