How are you lighting the space? I would do a recessed light in the middle of the space, one in the shower and one in the toilet area. Then do 2 linear sconces on either side of a framed mirror or 2 sconces placed on/through a wall-to-wall mirror.

I would call a glass/mirror company and ask. I suspect they do have something strong enough to adhere it, but the likelihood of it not damaging the mirror behind might be very low. Like if they use an epoxy, you might not ever be able to get them apart, or if you do, the epoxy might be difficult to remove from the larger mirror.

Jay, depend depending on that dryer exhaust run, you may want to install an inline Fantech laundry exhaust fan. They are a dream, and really speed up drying time. But. You must be able to access them for occasional cleaning, and need a standard electrical outlet, so you might want to plan for that now. Re pocket doors, I absolutely love them. No clue why. My dream house would have nothing but. That said, I’d never actually had one until we bought our current home three years ago. Now we have four. Four SOLID OAK slabs. The double set between our gym-locker room were shot when we bought the house, and I plan eventually to rip one out and re-drywall. The ones in our master bath rumble a bit, but after 40+ years, do still work. But solid oak slabs were a very poor choice. My sister has a louvered one in her master bath, and it has worked a charm for 50 years, never needed a thing.

I need a picture of the new design and I think it will be hard to find a mirror with the winged sides since the center piece willneed to be quite narrow to allow the wings in 30" THis seems like it might fit the bill it just sits on the counter is lit and also has magnification from Amazon pretty inexpensive so maybe worth a try.