You should not be able to shave a wizard whos wearing a facemask

[Angel]

I could have sworn wizards needing beards to cast spells was removed before I even started playing.

Yes and no, once the Wizards beard is shaved they have a period of time where they cannot cast spells, wait out that time and you can cast without a beard (this was the last time I tried it anyway)

Yes, but you can get your non existent beard shaved again, it's weird and makes zero sense, maybe it is a bug? No idea

Nevertheless, you also shouldn't be able to shave a masked wizard, and it shouldn't be instant either, its too strong of a counter to fully disable all of a wizard's spell with a single click, because even if it's temporary, it's good enough to stun or even lethally hurt the wizard.