Have you checked the Headphones aren't bad/problematic? Can you test them on another machine? Perhaps a friend's machine?
Additionally, have you tried another pair of BT headphones (if you (or a friend have any) on the "problem" machine?
Lastly - being your board (B650M Aorus Elite Gaming AX) has built in
Bluetooth adapter (PDF file). Have you grabbed the latest Bluetooth drivers dated 3 Jan 2024 -
B650M AORUS ELITE AX (rev. 1.0/1.1) Support | Motherboard - GIGABYTE Global (depending on the revision of the board). The link is for board revisions 1.0/1.1 boards. There are also 1.2 and 1.3 revisions, so...