Hi again,
I have tested the Enemy_character duplication in your QuickDemo map, inside the downloadable project.
Duplicated the Enemy_character BP and set in the Level BP on “SpawnActor Enemy Character” that the spawned “Class” will be this duplicated Enemy_character instead of the original one.
When I overlap with the trigger box the duplicated enemy spawns but does not shoot. 
Probably there is something else I am missing… but the “problem” I have, should be easy to reproduce in your project if you would like to take a look at it.
Best!