That has usually been called a 'Mirror Match' and is interesting as a one time deal but that is about all.
The problem is that it is usually best to fight things you have a decient chance of defeating. Against youself you have only the human vs AI advantage which should be enough but not always.
Usually this sort of thing is part of a special quest, and most people do not desire a rematch once they have done it once.
A.T
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