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SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES, Offering Costs associated with a Public Offering (Details) - USD ($) | Sep. 30, 2023 | Dec. 31, 2022
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Offering Costs associated with a Public Offering [Abstract] |  |
Transaction costs | $ 15,623,739 |
Underwriting fees | 5,520,000 |
Deferred underwriting fees | 9,660,000 |
Other offering costs | $ 443,739 |
Deferred underwriting commission |  | $ 0

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- Definition Carrying value as of the balance sheet date of outstanding underwriting commissions initially due after one year or beyond the operating cycle if longer, excluding current portion. + References No definition available. + Details
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Namespace Prefix: | paci_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- References No definition available. + Details
Name: | paci_OfferingCostsAssociatedWithAPublicOfferingAbstract
Namespace Prefix: | paci_
Data Type: | xbrli:stringItemType
Balance Type: | na
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- Definition Amount of other costs incurred in connection with the offering of Units in Initial Public Offering and Private Placement of Warrants. + References No definition available. + Details
Name: | paci_OtherOfferingCosts
Namespace Prefix: | paci_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Amount of costs incurred for underwriting fees in connection with the offering of Units in Initial Public Offering and Private Placement of Warrants. + References No definition available. + Details
Name: | paci_UnderwritingFees
Namespace Prefix: | paci_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Amount of costs incurred and deferred for underwriting fees in connection with the offering of Units in Initial Public Offering and Private Placement of Warrants. + References No definition available. + Details
Name: | paci_UnderwritingFeesDeferred
Namespace Prefix: | paci_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
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X
- Definition Specific incremental costs directly attributable to a proposed or actual offering of securities which are deferred at the end of the reporting period. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 340 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 5.A) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480341/340-10-S99-1 + Details
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