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Condensed Financial Information of Registrant - Additional Information (Details)	12 Months Ended
	Dec. 31, 2023
Percentage of threshold described in rule 4-08 not applied due to consolidated accumulated deficit	25.00%

X

- Definition

Percentage of threshold described under rule not applied.

+ References

No definition available.

+ Details

Name:	fa_PercentageOfThresholdDescribedUnderRuleNotApplied
Namespace Prefix:	fa_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration