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v3.23.1

Revision of Previously Issued Financial Statements (Details) - USD ($) | Sep. 30, 2022 | Jun. 30, 2022
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Condensed Financial Information Disclosure [Abstract] |  |
Accounts payable |  | $ 205,869
Operational costs | $ 205,869 |

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- Definition The adjustment to expense previously capitalized costs of operational costs. + References No definition available. + Details
Name: | fact_OperationalCosts
Namespace Prefix: | fact_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- References No definition available. + Details
Name: | srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract
Namespace Prefix: | srt_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Amount of obligations incurred classified as other, payable within one year or the normal operating cycle, if longer. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02.19(a)) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 + Details
Name: | us-gaap_AccountsPayableOtherCurrent
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant