Thermostat for old Sears Coldspot Refridgerator

Does anyone know how I can locate a replacement thermostat for a 1950s era Sears Coldspot refrigerator? I can’t seem to find anything from Google searches. The aluminum plate down near the condenser coils lists a model number of 106.D7P-B1, and the model number plate on the cabinet lists 106.D7D-B. Is it possible to replace it with any refrigerator thermostat with a sufficient current rating?

Thanks!
Chris