toonman Just saying: I am with Pixel 8 Pro and latest GrapheneOS and I experience the same issue. Until a week ago I had a different PC motherboard and a different Bluetooth dongle, so for a long time I supposed it was due to some strange Windows/Bluetooth driver interaction (albeit, every other Bluetooth device worked as expected).
I've now switched to the latest Windows 11, a new motherboard with an on-board Bluetooth chip, new drivers etc... and unfortunately the behavior is the same: Pixel has no issue in being added as Bluetooth device, it recognizes the PC as a device with which it can divert phone calls, but when it tries to connect it succeeds for a couple of seconds and disconnect immediately. I've tried I don't know how many fixes, none of them have solved this particular issue.
Note: I am not inferring here that is GrapheneOS at fault. Even tho' I haven't installed any particular "Google" driver on the PC, with the exception maybe of the one for dealing with Pixel when it is USB-connected (android_winusb.inf). I'd like to hear from anyone else who has no such issue, and then try to determine where the failure occurs. Thanks.