On the measurement of the outlet temperature of gas generators

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What methods are used to measure the temperature coming from the furnaces in factories? At present, our factory uses thermocouples and bimetallic thermometers, and there are no issues with the thermocouples. Theoretically, the output temperature of a gas stove should be around 500 degrees Celsius, and the range of a bimetallic thermometer is 600 degrees Celsius; therefore, the selection used in design is reasonable. But now, the temperature measured by the bimetallic thermometer differs from the temperature measured by the thermocouple by about 100 degrees Celsius. What could be the reason for this? Was it because the temperature coming out of the furnace exceeded 600 degrees Celsius at some point, which damaged the thermometer, or was the bimetallic thermometer not suitable for measuring temperatures above 500 degrees Celsius from the start?