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Related Party Transactions (Details) - USD ($) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1 Months Ended | 3 Months Ended | 12 Months Ended |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Mar. 20, 2024 | Feb. 07, 2024 | Feb. 02, 2024 | Jan. 05, 2024 | Dec. 15, 2023 | Nov. 07, 2023 | Oct. 07, 2023 | Sep. 06, 2023 | Aug. 17, 2023 | Jun. 07, 2023 | May 07, 2023 | May 02, 2023 | Mar. 28, 2023 | Mar. 06, 2023 | Oct. 16, 2021 | Sep. 13, 2021 | Sep. 07, 2021 | Sep. 01, 2021 | May 05, 2021 | Mar. 22, 2023 | Mar. 31, 2023 | Dec. 31, 2023 | Dec. 31, 2022 | Sep. 07, 2023 | Jul. 29, 2021 | Apr. 30, 2021
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock split |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | the Company effected a 1:1.1162791 stock split of Class B common stock |  |  |  |
Exercise price (in Dollars per share) |  |  |  |  |  |  |  |  | $ 1 |  |  |  |  |  |  |  |  |  |  |  |  | $ 11.5 |  |  |  |
Number of securities called by each warrant (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1 |  |  |  |
Trading period after completion of business combination |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 30 days |  |  |  |
Loan payable |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 163,000 |  |  |  |
Repaid amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 6,000 | $ 157,000 |  |  |  |  |  |  |  |  |
Incurred amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 180,000 | $ 180,000 |  |  |
Maximum borrowing capacity of related party promissory note |  |  |  |  |  |  |  |  | $ 480,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Sponsor advance |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 420,000 |  |  |  |
Cash deposited in Trust Account | $ 20,000 | $ 20,000 | $ 20,000 | $ 20,000 | $ 20,000 | $ 20,000 | $ 20,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 560,000 |  |  |  |
Due from related party, description |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | On July 20, 2023 and August 7, 2023, a total of $891,000 was transferred to the Sponsor from the operating bank account, of which a total of $616,000 was paid back on October 10, 2023, October 11, 2023 and December 13, 2023. Additionally, during the year ended December 31, 2023 the Sponsor paid operating expenses on behalf of the Company with a total value of $80,000 which has been netted against the amount owed. |  |  |  |
Private Placement Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to sponsor (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 8,700,000 |  |  |  |
Exercise price (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 1 |  |  |  |
Proceeds from warrants |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 8,700,000 |  |  |  |
Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to sponsor (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 8,700,000 |  |  |  |
Debt instrument conversion price per warrant (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 1 |  |  |  |
Public offering price per share (in Dollars per share) |  |  |  |  |  |  |  |  | $ 1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Private Placement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to sponsor (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 7,500,000 |  |  |  |
Private Placement [Member] | Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Exercise price (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 1 |  |  |  |
Proceeds from warrants |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 8,700,000 |  |  |  |
IPO [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of shares (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 24,000,000 |  |  |  |  |  |  |  |  |
Cash deposited in Trust Account |  |  |  |  |  |  |  | $ 20,000 |  | $ 20,000 |  |  |  |  |  |  |  |  |  |  |  | $ 241,200,000 |  |  |  |
Public offering price per share (in Dollars per share) |  |  |  |  |  |  |  |  |  | $ 0.02 |  |  |  |  |  |  |  |  |  |  |  | $ 10.05 |  |  |  |
Class B Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock shares outstanding (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 900,000 | 6,000,000 |  |  |
Shares exchanged (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 5,100,000 |  |  |  |  |  |
Class A Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Exercise price (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 11.5 |  |  |  |  |  |  |  |  |
Class A Common Stock [Member] | Private Placement Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Exercise price (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 11.5 |  |  |  |
Class A Common Stock [Member] | IPO [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of shares (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 24,000,000 |  |  |  |  |  |  |  |  |
Transferred shares (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 2,376,000 |  |  |  |
Board of Directors [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related party transaction |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 15,000 |  |  |  |
Cash deposited in Trust Account |  |  |  |  |  |  |  |  |  |  | $ 80,000 | $ 80,000 | $ 80,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Promissory Note [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Sponsor advance |  |  |  |  |  |  |  |  | $ 480,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Promissory Note [Member] | Sponsor [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cover expenses |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 300,000
Working Capital Loans [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Working capital loans convertible into warrants |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,500,000 |  |  |  |
Services Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Due to related party |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 160,000 | $ 40,000 |  |  |
Sponsor [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Offering costs |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 25,000 |  |  |  |  |  |  |
Sponsor Contributed capital |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 100,000 |  |  |  |  |
Loan payable |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 163,000 |  |  |  |
Repaid amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 157,000 |  |  |  |  |  |  |  |  |
Cash deposited in Trust Account |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 80,000 |  |  |  |  |  |  |  | 400,000 |  |  |  |
Public offering price per share (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.04 |  |  |  |  |  |  |  |  |  |  |  |
Deposit |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 20,000 |  |
Outstanding from Sponsor |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 195,000 | 0 |  |  |
Sponsor [Member] | Services Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Expenses per month |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 10,000 |  |  |  |  |  |  |  |
Sponsor [Member] | Private Placement Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to sponsor (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,200,000 |  |  |  |
Sponsor [Member] | Promissory Note [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Repaid amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 6,000 |  |  |  |  |  |  |  |  |  |
Sponsor [Member] | Services Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Incurred amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 120,000 | 120,000 |  |  |
Founder [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of shares (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 6,181,250 |  |  |  |  |  |  |
Founder shares, par value (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.0001 |  |  |  |  |  |  |
Forfeit founder shares (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 900,000 |  |  |  |
Percentage of issued and outstanding shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 20.00% |  |  |  |
Closing price per share (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 12 |  |  |  |
Threshold period after the business combination |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 150 days |  |  |  |
Founder [Member] | Class B Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock shares outstanding (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 6,900,000 |
Forfeiture of founder Shares (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 900,000 |  |  |  |  |  |  |  |  |  |  |
Founder Shares [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Transferred shares (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,350,000 |  |  |  |
Restrictions on transfer period of time after business combination completion |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1 year |  |  |  |
Related Party [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Due to related party |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 225,000 | 45,000 |  |  |
Due to related party |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 805,000 | 85,000 |  |  |
Outstanding from Sponsor |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 195,000 |  |  |  |
Due To Related Party [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Due to related party |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 420,000 | $ 0 |  |  |

X
- Definition Class of Warrant or Right, Blackout Trading Period After Completion of Business Combination + References No definition available. + Details
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Namespace Prefix: | inaq_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Number of founder shares forfeited during the period. + References No definition available. + Details
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Namespace Prefix: | inaq_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

X
- Definition It represents number of shares to be forfeited if over allotment option is not exercised. + References No definition available. + Details
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Namespace Prefix: | inaq_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

X
- Definition The amount of cash outflow for investment of cash in trust account. + References No definition available. + Details
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Namespace Prefix: | inaq_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Percentage Of Issued And Outstanding Shares After Initial Public Offering. + References No definition available. + Details
Name: | inaq_PercentageOfIssuedAndOutstandingSharesAfterInitialPublicOffering
Namespace Prefix: | inaq_
Data Type: | dtr:percentItemType
Balance Type: | na
Period Type: | instant

X
- Definition The contractual monthly amount to be paid for support services. + References No definition available. + Details
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Namespace Prefix: | inaq_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition The period of time after completion of a business combination during which the shares or warrant may not be transferred, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + References No definition available. + Details
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Namespace Prefix: | inaq_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition It represents amount of sponsor advance. + References No definition available. + Details
Name: | inaq_SponsorAdvance
Namespace Prefix: | inaq_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition The period of time after a business combination which must elapse before consideration of the share price condition for transfer of shares, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + References No definition available. + Details
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