All depends what you're plugging into at home. Is it a plug on a 15 amp breaker, a 20 amp breaker or a 30 amp breaker? Is there anything else on the circuit or is it dedicated?
In my instance, I plug into into the 15 amp circuit in my garage which also has my garage fridge, garage freezer, central vac, the powerwasher and whatever corded tool I need to use (like the table saw, chop saw, etc...) In my case, I wouldn't dare try to run the AC. (Ok, I did dare once just after getting the trailer last year, you can read about that fubar in my welcome thread.)
But, if I were to instead run the extension across the front of the house to the plug by the front door, that's on a dedicated 15 amp circuit and I'd probably be ok running the AC as long as I didn't try to use the microwave and converter or something at the same time.
There's no use crying over spilled milk, unless it's on your keyboard.