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Unaudited Pro Forma Financial Information (Details)	Sep. 30, 2024 USD ($)
Unaudited Pro Forma Financial Information [Abstract]
Additional shares issued value	$ 5,750,000
Underwriting discount and expenses	$ 867,500

X

- Definition

The amount of underwriting discount and expenses.

+ References

No definition available.

+ Details

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Namespace Prefix:	cgtl_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- References

No definition available.

+ Details

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Namespace Prefix:	srt_
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Balance Type:	na
Period Type:	duration

X

- Definition

Amount of additional paid-in capital (APIC) classified as other.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(30)(a)(2))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 944
-SubTopic 210
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.7-03(a)(23)(a)(2))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478777/944-210-S99-1

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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant