My audio card is not working (not because of Qubes) and my audio jack is broken. I don't have a choice but to use bluetooth headphones I have. I know this isn't good OPSEC but I think using bluetooth in a single AppVM would be safer than switching to an overall less safe OS. How can I go about this?

EDIT: A more convenient option, for me, would be to have something like sys-usb for bluetooth (sys-bluetooth!) Is this possible?