Here's the specs for the 13.5 Dometic Brisk Air II:
Coincidentally that shows a power consumption of 1670 watts.
In the US a/c's EER (energy efficiency ratio = BTU/hour divided by watts load) and power consumption are typically spec'd at 95F 40% relative humidity outdoors and 80F 51% RH indoors. I was pretty close to that when I took my measurements last summer. We know that the SEER (seasonal) efficiency ratings of a/c's are much better than the EER's which implies that they are a lot more efficient when its cooler outside.
Here is a link discussing this
Even it you find that you're pulling the 1700 running watts when it gets hot I don't think your 3500 watt genny will have any problems starting the a/c unless you're trying to run the microwave or some other big ac load at the same time. Folks seem to usually have trouble starting the a/c (without an easystart) with gennies rated at 3kW or lower.