I guess "haut" works, it's just a bit strange. There is no better word that's 5 letters or less to say 'this side facing up' that I can think of.
You could use "MISE", which means wager. It's slightly awkward because ideally it'd be MISE_2, MISE_4 etc. but it's more explicit, I think personally I'd be less confused.
You could also use "PTS", a common abbreviation for points, which would be easy to understand and be closer to natural language, but is more generic than 'mise'.
Hope this helps!