Miracle Max's door

In The Princess Bride, after Inigo knocks on Miracle Max’s door Max opens a little door in the door to see who’s knocking. What is the name of that little door in the door?

I don’t know its official name, but peekaboo door gave me some matching results.

Peephole, sliding peephole, or speculatorium.

ETA: I’ve also seen peep window.

Speakeasy door.

But peephole works better, for me.

Googling I’m seeing terms like “judas gate”, “wicket gate”, “speakeasy” or “speakeasy window”, and “peekhole door.”

I found:

A Judas gate is a small door set within a larger gate, historically associated with secrecy, limited access, and symbolic betrayal.

I think that a “Judas gate” is big enough for a person to fit through (and presumably set in a gate big enough for many people or vehicles).

Yes, but the term is also used for these types of doors, too. I spent a bit checking on that.

My top two choices were a Dutch door or a speakeasy door. Nope! instead finally after many more years of indecision and differing priorities we ordered something different now waiting on a Lowe’s installation for the new door. Corporate communications mightily susks the big one.