Bluetooth detects devices but cannot connect


I saw a few post about troubles with Bluetooth after update to Android 13, but they are quite old
I still have issues with Bluetooth: it detects devices but cannot connect
It may be linked to Android 13, because I also have a FP3, but with e/OS, whose version corresponds to Android 12, and there is no matter on this device
I followed the tuto on Fairphone website but nothing work
I would like to avoid a manual reinstallation of Android 11
Do you please have any suggestion ? Do the next release may fix this issue?
Thank you for your help
Thomas M.