Your model of Dometic uses ONE thermostat (Knob B) for temp control whether on 'GAS' (propane) or on 'Electric'
Only difference is when using Electric the thermostat will turn element ON/OFF as need to maintain temp based on whether thermostat is set (OFF to MAX)
When using Propane the thermostat will cut the burner back to bypass which is a very small flame.
IF thermostat was set to OFF the small bypass flame would run continuously
Flame should NOT go out unless you turn fridge OFF (Knob A)
If fridge can NOT go into bypass flame then it will over cool.....could just need good cleaning of burner area.
You can find and download manual for your RM2453 Model
CLICK---HEREJust type in RM2453
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US NAVY------USS Decatur DDG31