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When should a device stop operating based on temperature measurements?

I have to work with a Battery Management System (BMS). According to its datasheet the absolute maximum rating for operation temperature is -20°C to 50°C.
This BMS has an internal temperature sensor and using commands a host microcontroller can request this temperature.

This raised a question in my head, which is when should the host microcontroller decide to stop operating because the operating temperature is tending towards the absolute maximum ratings?
I tried to search the IEEE database and Google Scholar for a scientific answer, but could not find anything that answers my question.

What are your opinions when it comes down to determining when to quit operation based on temperature measurements? Would you play safe and stop when when you measure a temperature which is 5% of the maximum temperature rating or have some other sort of good practice?

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