I have a similar problem when my 27" iMac (2019) goes to sleep and my MX Anywhere 3 mouse not longer connects. My Apple Magic Mouse of course will and allows me to continue to work, but what a PITA to need to fall back on a mouse I hate. I have to reboot and all is fine again for some seeming random amount of time. macOS 12.6 is what I have, so still to fix.