Hospital
The hospital is the place you go to heal after a lost battle, although it doesn't really matter so much where yugioh duels are concerned. Still, if you get injured, this is the place to be.
(This is a place you can just go. If you're on a losing streak, you can wait here and stay away from other members' challenges. However, you won't be allowed to stay here for too long. You cannot duel in the hospital. I mean, have a heart. These people are already injured enough.)