So a little more detail...
First and foremost get that tape out of the tank. If you snake accidentally finds a way to get stuck to it, you and your creature are not going to be happy campers.
Second - A thermostat probe, for the most part should always go on the outside of the tank. Usually what you want to see is the probe either sandwiched between the bottom of the glass tank and the UTH or taped onto the UTH directly, but not on the inside of the enclosure. If your snake urates (pees) or spills water on the probe, the probe can sense a decrease in temperature and cause your UTH to spike in temperature, potentially burning your snake. The only time I have ever put a thermostat probe on the inside of an enclosure is when I have a CHE (bulb) or RHP (radiant heat panel) attached to a thermostat. When this was done, I used a used a non-sticky adhesive method (i.e. hot glue gun) like in the picture below to adhere the probe to the back wall of the enclosure that is elevated from the ground floor that prevent the probe from getting peed on.
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