That's a NAND gate (back is flat like the AND, front has the little ball on the output to indicate it's negated). The back of the OR/NOR is curvy.

AND is "Only together shall ye pass" hence NAND is "None or at most one shall pass" (which are the other logical options).

As other pointed out what you're describing is the negation of a XOR (which is "no more and no less than one shall pass"), i.e. XNOR.

OR would be "One or both shall pass" hence NOR would be "None shall pass".

No, NOR is “none of you shall pass”

That's XNOR

Lol this would be "You SHALL NOT pass, if BOTH of you passes, otherwise you SHALL PASS as long as one of you DOES NOT"

...which looking back, is actually written more succinctly by the top comment

…which double edit, my comment does identify the limitations of two parties as opposed to a potential of “you” being more than two. so maybe the top comment isn’t perfect, idk, it’s been a long Sunday