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Note 15 - Related Party Transactions (Details Textual) - Not-for-profit Corporation [Member] - USD ($)		3 Months Ended
	Mar. 01, 2022	Mar. 31, 2025
Operating Lease, Lease Income, Total		$ 13,946
Lease Term March 2022 Through December 2027 [Member]
Escalators and Agreements, Percentage	3.00%
Below Market Lease, Annual Rent	$ 8,829
Below Market Lease, Total Commitment to be Received	$ 44,144

X

- Definition

The annual rent of the below market lease.

+ References

No definition available.

+ Details

Name:	gyro_BelowMarketLeaseAnnualRent
Namespace Prefix:	gyro_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

The total commitment to be received of the below market lease.

+ References

No definition available.

+ Details

Name:	gyro_BelowMarketLeaseTotalCommitmentToBeReceived
Namespace Prefix:	gyro_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

Represents the percentage related to escalators and agreements.

+ References

No definition available.

+ Details

Name:	gyro_EscalatorsAndAgreementsPercentage
Namespace Prefix:	gyro_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Amount of operating lease income from lease payments and variable lease payments paid and payable to lessor. Includes, but is not limited to, variable lease payments not included in measurement of lease receivable.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 842
-SubTopic 30
-Name Accounting Standards Codification
-Section 50
-Paragraph 5
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479773/842-30-50-5

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 270
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 6A
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482964/270-10-50-6A

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 842
-SubTopic 30
-Name Accounting Standards Codification
-Section 45
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479016/842-30-45-3

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gyro_NotForProfitCorporationMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_LeaseContractualTermAxis=gyro_LeaseTermMarch2022ThroughDecember2027Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: