Hi , I am Tech Michael, an expert in this field. I would be happy to help you with this issue.
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As for the Bi-metal sensor, it wont always show continuity and its a pretty expensive part, but that is likely what you need to replace, it likely gotten weak internally and is cutting the cooling out prematurely.
I would replace that part and that should solve your issue;-)
If you need a source for the sensor, please let me know, I can help there as well;-)
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