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Condensed Consolidated Statements of Operations and Comprehensive Income (Loss) (Unaudited) (Parentheticals) - Related Party - USD ($) $ in Thousands	3 Months Ended		9 Months Ended		12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023	Dec. 31, 2023	Dec. 31, 2022
Related party	$ 2,069	$ 391	$ 5,383	$ 4,628	$ 6,779	$ 5,848
Selling, general and administrative expense - related party	69	31	69	31
Credit loss expense – related party	0	5,230	12	5,484	5,965	0
Research and development expense related party	31	145	57	145	1,248	0
Interest expense - related party	$ (189)	$ (241)	$ (615)	$ (624)	$ 87	$ 0

X

- Definition

The amount of credit loss expense from related party.

+ References

No definition available.

+ Details

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

X

- Definition

The amount of Interest income related party.

+ References

No definition available.

+ Details

Name:	fbyd_InterestIncomeRelatedPartys
Namespace Prefix:	fbyd_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

The amount of revenue from related party,

+ References

No definition available.

+ Details

Name:	fbyd_RevenueFromRelatedParty
Namespace Prefix:	fbyd_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Amount of other research and development expense.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 730
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482916/730-10-50-1

+ Details

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

X

- Definition

Amount of selling, general and administrative expense classified as other.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03(4))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147483621/220-10-S99-2

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

X

- Details

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Namespace Prefix:
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Balance Type:
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