I have the same generator/set up. We need to use the A/C during the summer camping we do in the southern Utah desert. (105) yesterday. Had the exact same problem when the temps were hi. The 30 amp breaker would trip when the compressor would kick in. Called dometic customer support. Excellent response! They'll need the model number from the A/C unit. If you need to find it just remove the plastic diffuser inside the TT. There is a factory sticker right there. Don't forget your glasses. They sent me a soft start kit no charge specific for the model A/C on the TT. Wired it up inside the A/C unit and have not any issues since. Their customer support folks absolutely stand behind their claim that the Dometic 3000 gennie will run the 13,500 A/C. It will. Just remember higher outside temps increase amp draw in your electrical service cord that feeds the TT so keep that cord as short as possible. And don't run a 100 ft extension cord cause that adds amp draw as well.
Like others have said. Let the Gennie run on full throttle for several minutes before running the A/C. Have the fridge on gas or just off for a few minutes.
Turn on the A/C and enjoy the comfort with a cold beverage.
FR Wildwood 22 RKS
2007 1/2 Dodge 2500, Cummins 6.7
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Like others have said make sure everything is off except the ac but I found that in Auto mode, on the thermostat, the Ac would not start on a real hot day. I switched it to the on mode and ran the fan for a few minutes then switched on the cool mode and it worked fine. That was on an old 3000 watt gen I had. Looking to get a new one and was hoping the one you have would do what I wanted plz let us know if any of the tricks mentioned in the posts you received worked.
Think about things before you do them make life easier not harder.