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SAFE (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Dec. 31, 2021	Dec. 31, 2020
Derivative Instruments and Hedging Activities Disclosure [Abstract]
SAFE liability	$ 27,221	$ 28,271	$ 0

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- Definition

Simple Agreement for Future Equity Liability

+ References

No definition available.

+ Details

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Namespace Prefix:	amci_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

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- References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration