BigSur Logically Search Daemon

So a friend got himself on Big Sur a LogicallySearch Daemon that we removed from the LaunchAgents, but it keeps reappearing. It appears to have also infected Apple menu -> System Preferences -> Security and Privacy -> Privacy -> Automation by adding a non-removable installation. We removed a Profile it created from System Preferences, but it still keeps regenerating an error that this program may damage your computer after restarts, and you open the file, it never shows anything on the computer. Furthermore, Chrome appears to have a persistently infected profile https://discussions.apple.com/thread/8534513

where the last three commands do not work at all on the Terminal. They say the file is not found.

If we do load the machine in safe mode, is there a way to remove this?

If the machine does not have a password for admin, do I need to create one? The password for the machine admin is nothing at all.