Which type of thermometer is not authorized for use within the dining facility?

The mercury-filled glass thermometer is not authorized for use within the dining facility due to safety and environmental concerns. Mercury is a toxic substance that poses a health hazard if the thermometer breaks, leading to potential exposure and contamination. The use of mercury thermometers is restricted in many settings, including foodservice environments, where food safety is paramount.

In contrast, digital and probe thermometers offer quicker and more accurate readings without the risk posed by mercury. Infrared thermometers allow for non-contact temperature measurements, which are also safe and effective for assessing the temperature of food and surfaces. Therefore, the choice of thermometer in a dining facility prioritizes both safety and accuracy, making the mercury-filled glass thermometer an inappropriate option.