Sony WF-1000XM3 bluetooth audio on Fedora 37

Could somebody please give the exact procedure to make Sony WF-1000XM3 work on Fedora 37? E.g. which packages to install / uninstall, how to make it connect, etc.

I have the M4. By default, after you switch the device on, a device should show up in your bluetooth connection settings. Something like LE_WH-1000XM3. Not sure if this is the same for the M3. This is NOT the one you want.
However, in my case I needed to press the On/Off button for ca. 7 seconds to enter pairing mode. Once that’s done the proper WH-1000XM3 device should appear in your connection settings. Pair to it and you’re done.
You don’t need any special drivers or other stuff.