An IR temperature gun aimed at the cover or housing will only read the actual temperature of the gears if the gear lube is a conventional. Synthetic gear lube has a surprising trait of insulating the gears so the actual temperature of the gears will be significantly hotter than what the temp of the cover shows. That's why gears lubed with a synthetic run hotter during the break-in, it doesn't extract the heat out as well as a conventional gear lube does.
Just do the break-in per the instructions at
https://www.revolutiongear.com/ring_and_pinion_break_procedure