Fight back of a Victim

Hello

I have a rule question about the victim's fight back support. If a member of a Monster family fights against a victim (which is supported by a action card), with a second attack, do i have ask "again" for support of families or is a played action card valid till end of members actions / or Dead of victim.

So in other words: If Daddy attacks 3 times i't possible, that the victim could be supported by 3 action cards (1 per action of Daddy, cause it will be discarded after each Attack/Action).

Thx for Support