Having the exact same issue with the audio stuttering and cutting out. I assume its an issue with the integrated bluetooth chip on my Intel Wireless-AC 9560 that came preinstalled on my gigabyte motherboard. I updated drivers, tried disabling services, uninstalling/reinstalling, etc. I went out and bought a cheap Insignia 4.0 bluetooth USB dongle, and (this is key...) after uninstalling the Intel Bluetooth Adapter device from the Device Manager, plugged the little sucker in and zero issues. There is a serious problems with this Intel adapter and its drivers on Windows 10, please have someone look into this.
Only turning off my bluetooth mouse works.
I have virtually the same setup and have the stuttering with both the built-in and the USB 4.0 dongle and even tried a usb extension cable. Old drivers, new drivers, nothing has helped.
I will say the USB dongle works better for headphone range and drops connections less, so I'm sticking with it, despite the annoyance of a little flashing dongle using up one of my few usb ports.
I'll be trying a new BT mouse soon to see if it's this particular model or just BT mice, in general.