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Subsequent Events (Details)	9 Months Ended
	Sep. 30, 2025
Subsequent Events [Abstract]
Gross consideration generated percentage	25.00%

X

- Definition

Gross consideration generated percentage.

+ References

No definition available.

+ Details

Name:	teth_GrossConsiderationGeneratedPercentage
Namespace Prefix:	teth_
Data Type:	dtr:percentItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

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