I haven't found a bluetooth set that works well with the deck yet. Everything seems to have a second of lag in the headphones when on bluetooth, that I never experience with wired. I've used both an old pair of Samsung earbuds that cane with an android phone over 5 years ago, which worked fine, and my personal go-to pair of Turtle Beach earbuds, with detachable boom mic. I leave the mic in my case unless I'm using it, and everything works well with that setup.

Jabra Elite 45h, via Bluetooth. Use the same for work and the sound cancelling is nice. Also they are very comfortable, pair easily, and the battery lasts a long time.

Not a gaming headset, but I just use the Pixel bud A-series I got for free when I bought my phone. They work pretty well, and I haven't had complaints about mic quality.

Dont buy anything steelseries, especially an arctis

I'm using a pair of Corsair HS55 via Bluetooth without any issues. Got them on sale cheap-ish and I'm happy. Only used the mic when I've had it connected to my phone and been told there's no noticable difference between the headset mic and the phone mic.

Dt990 pros a sound blaster x4 to drive them and a cheap samson satelite mic. The deck plugs into the back of the x4 through the line in port when the main pc is on