Ant-man and Wasp Vs kree power core

[Matthews1802]

If Ant-man or Wasp uses a power in there tiny form to interact with say alien ship crashed in downtown and gets a critical result, what happens ? 

Does the kree power core token just stay where it's is

Or

Does the token get "picked up" but as they can't hold objectives it is immediately dropped and that drop is resolved by the opponent? 

[Negoldar]

This is answered in this thread:

 

 

[Matthews1802]

Thanks 👍