Refrigerator on rv keeps going out

Yes water can do compensation build up in your propane tank. Some tanks have a drain pit on bottom reclaim propane and open the pit. If your does reclaim the propane and drain tank. If not reclaim propane and remove tank then remove filler valve turn tank over drain access water leave tank up side down over night. Put fill valve back on and mount tank. After lines are back on turn stove on leave on for 48 hours. Turn valves off and refill tank. Best of luck.

You may wish to check the flue clear anything that you find. Old birds next etc. Also make sure the flame and orifice are clean free from debris or rust. Propane should burn blue not orange. Incorrect gas setting if the flame is orange. Some yellow at the tip is ok. Proper adjustments are critical. Have you tried the unit on AC?
Other tips I have read indicate possible freezing in the back.
Defrost freezer completely as some here mentioned and restart see if this helps. Here is a good RV forum I saw good tips worth investigating.

If your not comfortable cleaning the jets and adjusting the flame have a professional do this. Safety comes first!
Good luck!
Freezer works refrigerator doesn iRV2 Forums

This is an RV frig correct? It SHOULD work either/or. AC or DC. If your plugged into AC then often the frig will work with that alone. DC is for when you have no AC so you can power your appliances of the battery. Maybe you have a converter (AC to DC which most RV's do) that somehow is not getting the DC to the frig.

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your refrigerator is an ammonia absorption system it does not have a compressor only a series of closed pipes and small tanks located behind the styrofoam box so; to operate yout refrigerator you need: a propane flame or, a 12 volt heating coil or an AC transformer to heat the system depending on if you have a 1,2,or, 3 way system.
also; these refrigerators will only work if you are on level ground
so check your fuses, transformer and, or, your gas thermocouple:
the thermocouple is a rod that sits in the burner flame to control the gas valve if you see some yellow dust around the back of the refrigerator you have a leak of the sealed system don't buy a new refrigerator just replace the system and, be sure that you remove the twisted metal riser in the top of the refrigerator vent pipe to use in your new system or, nothing will work the ammonia absorption sealed systems can be bought on ebay etc.

Few items to check first.
Inspect propane regulator.
#1 Is the RV on level ground?
#2 Purge the air pocket in the line. Turn on all you stove heads. Let it burn for 3 minutes to eliminate air pocket on propane line.
#3 Inspect for leak marking on the outside panel.

I have to ask, what is idle mode? I've never seen one that runs on idle mode, in a RV in 15 years. Has anyone used a manometer and tested Inches of water column in propane supply to fridge, as well as other appliances?
Any I've seen run on propane, are either on, (flame present, or off, no flame present.) Flame goes out completely when not calling for cool.

pipe feed could be too small poor flow of gas or flamesafety is cutting in

Two reasons, first would be that the burner is dirty and needs cleaning. Second is that the thermocouple is either faulty or incorrectly installed. By this I mean that it might be slightly too far away from the flame to be able to conduct sufficient heat to keep the thermocouple open. This can happen when you park or drive and the rv is at different angles. So the flame does not heat the thermocouple enough and it shuts off the supply.

This happens when your electrode fails. Replace your electrode.