Brianna did the caulking on the bathroom counter this evening, before she did her pregnant-mama energy-crash at 8pm. She did it carefully and cleanly, and it looks a lot better than any of the caulking I've done around the house.
I pulled off the tape and did a little touch-up on the gray paint. Then I installed the mirror and toilet tank. Currently the toilet tank is half-full with the water shut off. There's also a towel across the doorway. Hopefully none of those precautions are necessary.
Assuming there's no leak, we just need to paint the trim and rehang the door, and this bathroom will be useable again!