Marvel Strike Teams (2018)
Marvel Strike Teams: November 2018
Can you Engage with any green maneuver? That is, does the restriction only apply to laying down your dial, or to all action-based movement as well?
As per the rulebook, page 18:
If one card ability forbids an effect, while another ability allows it, the effect is forbidden.
So in this case Engage would not allow you to choose a maneuver faster than 1 after you have ejected your core.