I didn't have this problem until I built my new rig, but my old rigs were old hardware, like over 7 years old.
Motherboard: Gigabyte Aorus Pro Wifi
The board uses the Intel 9260 BT 5.0 and Wifi M2 card.
I have Music bee set to use the BT connection, and Brave to use the speakers plugged into the analog motherboard rear connections.
It's like the play button is connected to the Music Bee play button. I can start a video on Youtube, for instance, and then when I click pause, MusicBee pauses. When I click the Brave browser Youtube video to start again, Music Bee starts again.