I know you can do lots of things over existing tile as long as you prep it correctly. This isn't my best area but I would assume that as long as the tile is attached solidly then you can skim coat it with mortar or maybe a pourable/trowelable epoxy. I've tiled over existing tile before and didn't have any issues.
Ripping out tile can be a friggin' nightmare so hopefully you can just go over it.
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