Battle mode does not provide the option to skip turns. If your character cannot move or attack due to a debuff, you have to wait 10 seconds for your run to end. But you wait ten seconds without taking an action then your countdown timer changes from 10 seconds to 5. Explore and Challenge modes provide the option to skip turn. Battle mode needs this as well.
Incidentally, this lack of functionality has exposed the fact that most of the opponents (it not all) in Battle mode are bots. When my opponent is incapacitated or has no action that they can take, their turn ends immediately. A human opponent in Battle mode would not have the ability to do this.