Not sure if related but a friend with a 2012 GT/CS had similar and is getting a new Coyote engine via the power train warranty. Brought it in, they listened, said YEP, not fixing getting you a new engine.
I have the infamous ticking sound from time to time. Doesn't happen all the time.
But, good grief! How in the world did you get a new engine?? Where is this place, so I can get a new one too! Lol