What kind of monkey is that?

Every time I described the animal fight in the film, I always said it was a baboon-vs.-cobra fight. That was how I remembered it from my one viewing 15 or so years ago. But I watched it again last night and that monkey is clearly not a baboon.

Does anyone know what kind of monkey it is?

I'm not even sure how to google something like this:
"Monkeys that are easily trained"
"Monkeys that make good pets"
"Monkeys that look a little like baboons"
"Monkeys that fight cobras"?