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Note 24 - Leases - Summary of Other Information (Details) - USD ($) $ in Thousands	12 Months Ended
	Jun. 30, 2025	Jun. 30, 2024
Operating cash flows from finance leases	$ (3)	$ (6)
Operating cash flows from operating leases	(1,450)	(1,415)
Finance cash flows from finance leases	(59)	(112)
Right-of-Use Assets Obtained in Exchange for New Operating Lease Liabilities	$ 450	$ 732
Finance leases (Year)	7 months 24 days	1 year 5 months 15 days
Operating leases (Year)	2 years 3 months	1 year 6 months 29 days
Finance leases	1.98%	2.47%
Operating leases	4.93%	5.60%

X

- Definition

Amount of interest paid (recovery) on finance lease liability.

+ References

No definition available.

+ Details

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Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Amount of cash outflow (inflow) for principal payment on finance lease.

+ References

No definition available.

+ Details

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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
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X

- Definition

Amount of cash outflow (inflow) from operating lease, excluding payments to bring another asset to condition and location necessary for its intended use.

+ References

No definition available.

+ Details

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Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
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X

- Definition

Weighted average discount rate for finance lease calculated at point in time.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 55
-Paragraph 53
-Publisher FASB
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X

- Definition

Weighted average remaining lease term for finance lease, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

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-Topic 842
-SubTopic 20
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-Section 55
-Paragraph 53
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479589/842-20-55-53

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X

- Definition

Weighted average discount rate for operating lease calculated at point in time.

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-Section 55
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-URI https://asc.fasb.org/1943274/2147479589/842-20-55-53

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X

- Definition

Weighted average remaining lease term for operating lease, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 842
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-Section 55
-Paragraph 53
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479589/842-20-55-53

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X

- Definition

Amount of increase in right-of-use asset obtained in exchange for operating lease liability.

+ References

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