I've got an 04 DP with a basement AC unit. It works great when parked, it doesnt work when driving (it tries to work, but it ends up freezing eventually). I plan to add a dometic rooftop unit in the next month to run AC while driving so the kids dont bake in the back. I'm comfortable running everything, my question is about the existing inverter. It's a 3000W inverter that came with the RV. The AC unit I'm looking at is only 1400 watts, so I assume the 3000w inverter would be enough to handle the startup surge power needed when it kicks on. Fridge only pulls 150w, other random electronics are negligible.

Is my line of thought correct? Am I missing anything else? I know there will be some draw on the inverter when the charger for the batteries kick on, otherwise though I think we should be set.