And if you are, you must uninstall one of them. (Hint: Uninstall the Norton.)
Then run the Removal tool.
Following that it might be necessary to repair the Avast installation.
Yeah, that won’t work, sorry. Sooner or later it will cause significant trouble. Seen/read about it lots. It must be completely uninstalled.
There are plenty of good alternative firewalls around.
What could be more serious than a conflict between two AVs fighting for control over a file that locks your system, well one that locks your system during boot, effectively locking you out of the system (unless you boot into safe mode). This is a worst case scenario.