As said about the micro air kit, some people are running their ac with a Honda 2000. For the same money you could buy a Honda 2000 and a micro air.
The eb 3000 will most likely run just your ac but you don't know until you try it. As I explained, my son's eb 3000 runs his air just fine but the problem was that he had his fridge on auto which selects 120 volts when it sees power. Along with that they were also running a few lights and the converter (charger) so it had to be pulling a couple amps. Adding that load and the electric heating element of the refrigerator and it's just enough to kill the generator when the compressor kicks in. The AC fan will start but as soon as the compressor kicks in it's too much.
Along with all of that, the hotter it is the higher the head pressure in the compressor as I understand it. No matter which generator you use you also lose power as you go up in elevation.
I or others usually won't tell you absolutely that something will work. There are different models and ages of ac units or a person could have other issues with the devices that they want to power.