X3,
One addition I would make is install “EASY HEAT” in the Tile Floor Grout.
Easy Heat link
We remodeled ours in 2005, best investment I’ve made. Tiles are always cold, but with this setup, you have a thermostat to control it. Leave it on just enough to take chill off floor in Summer and Winter crank it up. Wife goes and sits on edge of tub with bare feet on the floor to warm up. It’s wonderful on cold winter mornings too.
We used the cable version due to L-Shape bathroom, they also have Mats for rectangular shaped rooms.
Good Luck