MINTEMP BED Fixed error when running consecutive print
The bed minimum temperature is defined in your configuration file, e.g.:
#define BED_MINTEMP        5

If the error is displayed, it means that the measured temperature drops below this level.

What I am noticing is that upon finishing the first print

This could hint to a faulty heatbed connector where the connection is lost because the bed moves to the end positions (hard to say without seeing the end G-code).
Basically, you could have a connection to bed thermistor that is intermittently failing, or a bad bed thermistor. If connection is lost the temperature defaults to 0 °C or a lower setting.