I apologize for the new-guy oops of posting a commercial link in my first post. To Steve’s point, it sounds like you currently have a Honda 2000, which can not support the momentary surge of the Truma AC compressor and adding the OTT installed EasyStart is not an option. Even installing one on your own, which is fairly simple, it appears it would possibly void the Truma warranty (this seems to be the case with many RV AC manufacturers).
A possible solution, specifically to bbrault’s concern of not wanting to upgrade to a new generator, is the aforementioned external soft start. Without the link this time 😉, it is called a SoftStartUp. You can see my previous description.
I have no affiliation of any kind with the company, just trying to help someone out based on personal experience with the product and a similar solution based on a similar need. The cost isn’t cheap, but would allow continued use of the Honda 2000, which is what we currently use as well.