Rule help: Feral Poodles + modifiers

[LouCoassin]

Feral Poodles:

Bad stuff: They dog your steps. Keep this card on the table and add it to every combat until someone defeats the Poodles. (Don't roll to Run Away from them again).

I have a helper and we lost. I failed to run away so obviously the helper doesn't need to roll in this case because it changes nothing. Giant Atomic was played on this as well giving it a +10.

My question is this: does Giant Atomic stay with the Feral Poodles until defeated or is it removed after loosing the fight?