Just wanting to make sure I’m reading this correctly.
Quickdraw’s ability:
> Once per round, when you lose a shield token, you may perform a primary weapon attack.
Push the Limit:
> Once per round, after you perform an action, you may perform 1 free action shown in your action bar.
> Then receive 1 stress token.
Electronic Baffle:
> When you receive a stress token or an ion token, you may suffer 1 damage to discard that token.
So, if Quickdraw moves and performs an action. Which activates the PTP, which gives her a stress. Which activates the Electronic Baffle, which removes the stress and gives Quickdraw a point of damage. And if she has a shield, activates her special ability, she performs a primary weapons attack. And that attack is during movement because that when she lost her shield.