Just looking at the picture. it looks like glazed ceramic tile. Having spent many years laying tile in order to pay the bills, I can tell you that ceramic tile is tough enough to cut with tools designed to cut it. Your stuff is glazed and that makes the surface even tougher. It’s engineered to be shiny and tough and scratch/abrasion resistant. Blades and bits designed to cut ceramic tile are diamond coated and usually water cooled. (not sure if you’ve ever seen a tile saw, but while the blade is spinning there is usually a stream of water running across the blade and tile keeping everything cool.) trying to cut that stuff with an X-carve would require some very expensive diamond tipped mills, a lot of time and a lot of patience… any cutting action on that tile is going to create a ton of heat, so be aware that you’ll burn through bits like a kid through candy.
that being said, if you do give it a go, please share your methods and results .