Arcade is the platform, coin-operated.
It's none of those. I don't think it's recent enough to be a Neo Geo game.
I wouldn't count jumping as another free dimension, but anyway you could jump as well in this game (probably), but as I said you could in addition also walk not only left and right but also up and down. Like Golden Axe but in an enclosed space. Think about wrestling games, but with gladiators in a mythological pulp instead of wackoes in masks and tights.
Weird, I actually spent a while before posting checking in the great database at
klov.com every fighting game from the concerned years, and I found nothing. This can't be very popular.
