Question is in the title, couldn't find an answer anywhere.

I couldn't in my game. So unless it was a bug/glitch I don't think so...

It already has an 'enchantment' so I don't think you can.

I thought it technically didn't?

It has an enchantment but it does have an active effect.
"Despite the enchantment being described as "The wooden mask hums with an unfamiliar energy", this has no actual effect."