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Well. I suspect this is one of those matches that'll never finish for using two characters generally never used on the wiki, buuuuut
They both have access to homing attacks that bust through obstacles- though the Wizard's seems to just be walls and not something like, say, forcefields, which Nezznar has and does default to using. However, the monkey has literally Mid-High regen, so Nezznar has nothing lasting that will actually damage them. Thus a physical fight seems unlikely- monkey would need to get through forcefields (which, granted, can be done, it just becomes a pain in the ass), whereas Nezznar absolutely needs to go for incapacitation.
To this end, I present to you Suggestion, an 8-hour duration spell (even in 5e's gimped versions of magic) that should incapacitate the monkey nicely. In brief, Nezznar suggests a course of action, monkey obliges. This course of action can be essentially anything, but given that, per standard rules the only way to win in such a timeframe is by KO, I think the best suggestion would be "go take a nap".