... just saw your comment: I also missed this feature (but in different Custom ROM). My workaround is: install and activate one of the available shut-down scheduler for shut-down at xx p.m. and define an alarm (silent without an alarm tone) at xx a.m. with the stock clock app. Since an alarm triggers the phone to start the phone even from the off-state (check this ability for your ROM and clock app), this is a workaround.
You need to turn off the microphone for google assistant. Everything should work. The Paranoid Beta (A11) works together with Google Assistant and microphone messengers. This is not a problem for all firmware versions on Android 11.
i had the same problem
You probably updated by OTA, which you shouldn't. Backup, then reflash cleanly.