I dropped it off this morning feeling really frustrated. The engine had been ticking and tapping constantly, until I got about a half of a mile from the dealership. I told them that and they promised to check it out again.
Later on in the evening, I got a call from the service writer. They found the oil leaks. It turns out that both the rear main seal and the oil pan gasket were leaking. And wonder upon wonders, they actually reproduced the noises that I’ve been hearing. Their engine guy is going to take a look at it tomorrow.