How would one install a wall-mounted toilet when the original is on a concrete slab?

1973 framed townhome. I can do whatever I want to the slab, which is 4" thick. The current drain for the toilet is standard, but it travels through a 4" slab.

The wall behind the toilet(s) are 1/2" drywall with 2×3 studs @ 16" on center and the space between the drywall on either side of the wall is about 12" (room for dryer vent).

So, I have enough depth for a wall-mounted toilet.

What I don’t have is a wide enough stud, so I imagine I would need to re-frame a section of the wall to widen it.

2nd, and more costly is going to be moving the drain for the toilet.

Since it runs through a slab, I foresee that I would need to bust through the slab far enough to be able to re-fit the drain such that it’s centered on the wall plate below the new toilet tank.

Have I missed anything?