I use heat pads, similar to tape. (tape is hard to find in the UK)
To avoid rubbing I put thin plastic self adhesive floor tiles on the part of the floor where the heat tape is not. This lifts the tub 1 or 2 mm above the tape/pad and there is no or reduced rubbing. especially if you have the water bowl at the other enc (front) for ballance.
This saves me recessing.
My systems last for decades this way.
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