Phantom Girl has 1 action token, she users her attack ability to get a free Close Combat Action AFTER ACTIONS resolve (this is after she is given a move action).

if someone could post the specific wording I would appreciate it.

Would PG take the push damage before the free action (therefore having Exploit Weakness on click 2) or would she take it after taking the push ?

Pushing occurs as actions resolve, the attack is after actions resolve, pushing will come first.

PG from booster

PG from GF

The booster is the one I am referencing Thanks!

It is after actions resolve, that includes taking pushing damage.