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Note 3 - Term Deposits (Details Textual) - USD ($) $ in Thousands	Sep. 30, 2025	Jun. 30, 2025
Deposits Assets, Restricted, Current, Net	$ 815	$ 816
Deposits Assets, Restricted Term Deposits, Noncurrent, Net	$ 1,925	$ 1,935

X

- Definition

Represents the amount of current restricted deposits assets, net of currency translation effects.

+ References

No definition available.

+ Details

Name:	trt_DepositsAssetsRestrictedCurrentNet
Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

Amount of noncurrent restricted term deposits assets net of currency translation effect.

+ References

No definition available.

+ Details

Name:	trt_DepositsAssetsRestrictedTermDepositsNoncurrentNet
Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant