Additional option units.

No definition available.

Name:	trgsu_AdditionalOptionUnits
Namespace Prefix:	trgsu_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

The amount of advisory fee payable noncurrent.

+ References

No definition available.

+ Details

Name:	trgsu_AdvisoryFeePayableNoncurrent
Namespace Prefix:	trgsu_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

The amount of deferred fee.

+ References

No definition available.

+ Details

Name:	trgsu_DeferredFee
Namespace Prefix:	trgsu_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Deferred underwriters discount per share.

+ References

No definition available.

+ Details

Name:	trgsu_DeferredUnderwritersDiscountPerShare
Namespace Prefix:	trgsu_
Data Type:	dtr:perShareItemType
Balance Type:	na
Period Type:	instant

- Definition

Represent the amount of deferred underwriting discount.

+ References

No definition available.

+ Details

Name:	trgsu_DeferredUnderwritingDiscountAmount
Namespace Prefix:	trgsu_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Increase in advisory fees percentage.

+ References

No definition available.

+ Details

Name:	trgsu_IncreaseInAdvisoryFeesPercentage
Namespace Prefix:	trgsu_
Data Type:	dtr:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Underwriters option period from date of initial public offering.

+ References

No definition available.

+ Details

Name:	trgsu_UnderwritersOptionPeriodFromDateOfInitialPublicOffering
Namespace Prefix:	trgsu_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Represent the units issued during period shares new issues.

+ References

No definition available.

+ Details

Name:	trgsu_UnitsIssuedDuringPeriodSharesNewIssues
Namespace Prefix:	trgsu_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_OtherCommitmentsLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

The amount of cash paid for commissions during the current period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 25
-Subparagraph (g)
-SubTopic 10
-Topic 230
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-25

+ Details

Name:	us-gaap_PaymentsForCommissions
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Per share amount received by subsidiary or equity investee for each share of common stock issued or sold in the stock transaction.

+ References

No definition available.

+ Details

Name:	us-gaap_SaleOfStockPricePerShare
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=us-gaap_IPOMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=us-gaap_OverAllotmentOptionMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_TypeOfArrangementAxis=trgsu_UnderwritingAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Commitments and Contingencies (Details) - USD ($)				9 Months Ended
Commitments and Contingencies (Details) - USD ($)	Mar. 27, 2026	Mar. 25, 2026	Feb. 27, 2026	Sep. 30, 2026	Dec. 31, 2025
Commitments and Contingencies [Line Items]
Deferred underwriting discount per share (in Dollars per share)				$ 0.3
Deferred underwriting discount amount				$ 6,000,000
Deferred fees				6,189,600
Advisory fee payable noncurrent				6,189,600
IPO [Member]
Commitments and Contingencies [Line Items]
Units issued during period shares new issued (in Shares)			20,000,000
Commission paid				$ 250,000
Increase in advisory fees percentage				3.00%
Over-Allotment Option [Member]
Commitments and Contingencies [Line Items]
Units issued during period shares new issued (in Shares)	632,000
Deferred underwriting discount amount				$ 6,900,000
Underwriting Agreement [Member]
Commitments and Contingencies [Line Items]
Underwriters option period				45 days
Underwriting Agreement [Member] \| IPO [Member]
Commitments and Contingencies [Line Items]
Additional option units (in Shares)				3,000,000
Units issued during period shares new issued (in Shares)		632,000
Price per share		$ 10