The word "narc" is already in use.

I've seen people recently try to use the word "narc" as a word for for both narcissists and what narcissists do, as in "My mom was a narc when I was growing up," or "Narcissists gonna narc."

As it happens, however, "narc" already has a use, both as a noun and as a verb. Anybody who was around in the 70s knows this. People who want to discuss narcissists already have a word at their disposal: "narcissist." If you want to have a single word for what narcissists do, I suggest the neologism "narcise," with a sibilant C, as in "exercise": e.g., "My narcissist of a mother narcised all over my eleventh birthday party."

Thanks for your time.