How about we say that the asset is used up, but that you used it to not "reveal yourself" when you attacked? That is, they won't attack Kaine on my turn because they're confused.
Sounds good.edit: Also 1 XP from Penitent Hunter.
Since you could plausibly be coming here just to rescue hostages, and you're not really "with" these other guys yet, I will say, "Yes, that counts," but only if you refrain from making any attacks until the real fighting (as opposed to hurling insults and picking people off from the roof) starts. Dealing with hostages or other scenery until then is fine.