Damage dealt to a battle causes that many defense counters to be removed from it.
Invasion of Fiora // Marchesa, Resolute Monarch
In a multiplayer game, if the protector of a battle leaves the game and that battle is not currently being attacked, its controller chooses a new protector for it as a state-based action. If it is being attacked, its controller chooses a new protector for it once no creatures are attacking it. This means that it continues to be attacked and can be dealt combat damage as normal.
A battle can be attacked by all players other than its protector. Notably, this means a Siege’s controller can attack it.
Magic: The Gathering · ™ & © Wizards of the Coast · Illus. Joshua Raphael
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