These are industrial process controllers, that a competent technician should be able to connect in place of the stock thermostat. Hang on the outside or back of the fridge.................
I found the generic, manufacturer’s part number for the OEM part and you can have them made new for less than a few dollars each in China … if you buy 500 - 1,000 minimum quantity.
So, now it’s a “one of these days I’m gonna fix that” project. The summer taming the yard chores and all the other home and yard improvement projects have taken over my time, energy and motivation for now. But … “one of these days, I am going to fix that.” No, really.