Did you have an RHP installed by AP? Is there a channel in the top of the cage as well? If so, that hole is probably to feed the power cord out of the cage.
No reason the probe can’t dangle. On my T8 cages i have the probe dangling directly behind the panel about 1/2 way down the height of the cage.
I’d play around with different placements for the probe until you get your desired temps and then secure the probe if it’s against a wall when you settle on placement. I’m doing the same right now with a couple cages that I’ve made some mods to.
What’s most important is that the animal cannot disrupt the placement of the probe, lay on it, pee on it, spill water, etc.
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