Perplexity.ai:

Yes—there is a connection between “person” and “mask,” but the distinction is Greek versus Latin:

• Greek: πρόσωπον (prósōpon) originally meant “face” or “countenance,” and also came to mean a theatrical mask, a character or role, and a person. So “mask” is one meaning—not its sole or original meaning.
• Latin: persōna meant an actor’s mask and the character or role represented. This is the word from which English person derives. Its earlier origin is uncertain, possibly through Etruscan, with a proposed connection to Greek prósōpon.

The memorable connection is therefore face → theatrical mask → character or role → person—a useful summary of the related meanings, rather than a completely settled etymological chain. It does not mean that “person” literally means “mask” in ordinary modern usage.