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Note 16 - Government Grants (Details Textual) - USD ($) $ in Thousands | 3 Months Ended
--- | ---
Sep. 30, 2025 | Sep. 30, 2024
Government Assistance, Income, Increase (Decrease) | $ 4 | $ 66
Financial Assistance Received From the Singapore Government [Member] |  |
Government Assistance, Income, Increase (Decrease) | 2 | 62
Financial Assistance Received From the Chinese Government [Member |  |
Government Assistance, Income, Increase (Decrease) | $ 2 | $ 4

X
- Definition Amount of increase (decrease) in income from government assistance. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 832 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 3 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org/1943274/2147483507/832-10-50-3 + Details
Name: | us-gaap_GovernmentAssistanceAmount
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Details
Name: | us-gaap_GovernmentAssistanceTypeAxis=trt_FinancialAssistanceReceivedFromTheSingaporeGovernmentMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | us-gaap_GovernmentAssistanceTypeAxis=trt_FinancialAssistanceReceivedFromTheChineseGovernmentMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |