Represents the warrants or rights exercised during the period.

No definition available.

Name:	flna_ClassOfWarrantOrRightExercisedDuringPeriod
Namespace Prefix:	flna_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents the warrants redeemed common stock warrants.

+ References

No definition available.

+ Details

Name:	flna_ClassOfWarrantsOrRightsCommonStockWarrantsRedeemed
Namespace Prefix:	flna_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of decrease in warrant liability from exercise of warrants.

+ References

No definition available.

+ Details

Name:	flna_ExerciseOfWarrantsResultingInDecreaseInWarrantLiability
Namespace Prefix:	flna_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Number of warrants or rights outstanding.

+ References

No definition available.

+ Details

Name:	us-gaap_ClassOfWarrantOrRightOutstanding
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- Definition

Amount of expense (income) related to adjustment to fair value of warrant liability.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 28
-Subparagraph (b)
-SubTopic 10
-Topic 230
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-28

+ Details

Name:	us-gaap_FairValueAdjustmentOfWarrants
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Value of outstanding derivative securities that permit the holder the right to purchase securities (usually equity) from the issuer at a specified price.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(2)(i)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(2)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(1)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

+ Details

Name:	us-gaap_WarrantsAndRightsOutstanding
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=flna_WarrantsToPurchaseCommonStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Note 13 - Warrant Dividend Distribution - Changes in Warrants Outstanding and Warrant Liability (Details) - USD ($) shares in Thousands, $ in Thousands	3 Months Ended		4 Months Ended	12 Months Ended
	Jun. 30, 2024	Mar. 31, 2024	May 07, 2024	Dec. 31, 2025	Dec. 31, 2024	Dec. 31, 2023	Sep. 30, 2024
Balance, shares (in shares)		16,895	16,895	0
Balance, liability		$ 113,363	$ 113,363
Gain from change in fair value of warrant liabilities				$ 0	$ 108,183	$ 0
Gain from change in fair value of warrant liabilities				$ 0	$ 108,183	$ 0
Balance, shares (in shares)				0	0
Balance, shares (in shares)				0	0
Balance, liability
Warrants to Purchase Common Stock [Member]
Balance, shares (in shares)	16,221			0
Balance, liability	$ 65,368			$ 0
Warrants exercised (in shares)	(3,152)	(674)	(3,800)
Warrants exercised	$ (226)	$ (4,954)
Gain from change in fair value of warrant liabilities	(65,142)	(43,041)
Gain from change in fair value of warrant liabilities	$ (65,142)	$ (43,041)
Redemption of common stock warrants (in shares)	(13,069)
Balance, shares (in shares)	0	16,221			0
Balance, liability	$ 0	$ 65,368		0	$ 0
Balance, shares (in shares)	0	16,221			0		0
Balance, liability	$ 0	$ 65,368		$ 0	$ 0		$ 0