Same Issue with DELL Precision 5570 and Sony WH-1000XM5 and also Samsung Galaxy Bud+, only happened after upgrading to Win11 22H2.
I had to restart my computer for each meeting, and it only would work once per startup per connecting headset. As soon as the headset would go to standby, I had to go for another restart to be able to use the mic again. Downgraded back to 21H2 resolved the issue. Upgraded again to 22H2 and the issue reappeared.
Resolve (at least for now!):
The driver version for Intel® Smart Sound Technology for Bluetooth® Audio on my computer was "10.29.0.8719". No windows update or update from DELL would show any further updates. I found the next version of this driver (10.29.0.8854)
on Microsoft website and manually updated the driver and it seems resolved the issue. Can others that have this issue try and confirm if this is the case for them as well?
I downloaded it from Microsoft (Microsoft Update Catalog). Copy all the files inside the cab into a folder then use device manager to update the driver.