First, the thermostat probe needs to be outside the tub, stuck between the heat pad and the underside of the tub. Otherwise your snake can move the probe off the heat, pee on it, dump his water bowl, etc. and cause it to send an incorrect reading to the thermostat and overheat the tub.
Second, you need to measure the temperature of the tub over top of the heat pad and under the substrate, not the temperature of the substrate over the UTH, as your snake will burrow under the substrate. So you put the thermometer probe under the substrate on the floor of the tub, or you use an IR thermometer / heat gun to take that measurement.