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Derivatives and Hedging Activities - Schedule of Gain (Loss) of Derivatives (Details) - USD ($) $ in Thousands | 9 Months Ended
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Sep. 30, 2025 | Sep. 30, 2024
Derivative Instruments and Hedging Activities Disclosure [Abstract] |  |
Derivatives designated as hedges | $ (348) | $ (477)
(Loss) gain in OCI on derivatives (effective portion), net of tax | (137) | (107)
Gain (loss) reclassified from OCI into interest income or interest expense (effective portion) | $ (1,593) | $ (3,296)

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- Definition Gain (Loss) in OCI on Derivatives, Effective Portion, Net of Tax + References No definition available. + Details
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Data Type: | xbrli:monetaryItemType
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Period Type: | duration

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- Definition Gain (Loss) Reclassified From OCI Into Interest Income or Interest Expense, Effective Portion + References No definition available. + Details
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Namespace Prefix: | bbt_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- References No definition available. + Details
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- Definition Net fair value of all derivative instruments designated as fair value hedging instruments. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 815 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 4B -Subparagraph (c)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480434/815-10-50-4B + Details
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