I disagree with having to have both AC & DC. Why even have the two way fridge if you need both? All the AC is for is to heat the boiler. (Unless it has an ice maker). On gas, a small flame provides this heat. Also, if Dometic has not changed, it has to have a minimum of 9.6 VDC.
If your converter is good, it will provide voltage when rv is plugged in.
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2013 Chevy 3500HD
2012 Rushmore 38CK