Exclusive disjunction

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An “or” that means either this or that but not both.

This is an unusual type of or. Most ors are inclusive disjunctions, meaning “it could be this, that, or both: I’m honestly relaxed and don’t care as long as one of you shows up.”

If you have an inclusive or, as mostly you should, you don’t need an and/or. If (you think) you have an exclusive or, and you need an and, just use an inclusive or.