You can choose between LC3+ (lossy) and PCM (lossless).
Although LC3+ is lossy, it’s a high quality codec and not squeezed (fixed 500kbps per channel). It also offers best in class error correction, so in case of bit errors, you actually won’t notice whereas PCM will give you a dropout in sound.
P.S.
I guess you will need two (of the same) devices/as a pair.
I’d go for a wired connection, (if you want the lossless version).
MM
Location: Flensborg————Danmark