3 things;
- Check the fuses on the fridge. There may be 2 - check the body of the fridge itself, as well as the tip on the plug assembly.
- Check the voltage on the battery at the socket - plug it into another vehicle as well.
- In the menu in the fridge, there is a "Hi/Med/Low" for cutoff voltages. Set it to "low"
I've had mine set to "high" and the fridge stopped within just a few hours on a slightly weak battery.
I bought a CFF35 to replace mine, it seems of much higher quality overall than my older one. There could be confirmation bias -- because buying anything with a dometic does come with an "Implied Consent" sticker on it.
The good news is, there are other options including 1 I found on Amazon which was a cf35 clone. My finger was hovering over the buy it now, but I decided (perhaps foolishly) that dometic at least has an appearance of a warranty.
Then there are more respectable names like
BougeRV | Solar Power | Explore Glamping Gear -- They seem to be a respectable company.
Good luck