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Condensed Financial Information of Registrant - Additional Information (Details) | 12 Months Ended
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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