While I admit I didn’t pursue it when I lived in a similar situation, there’s a case to be made that would violate electrical code. You should be able to safely plug in any appliance which meets the limitation of the outlet.
In my case, I just ignored that and got a window AC anyway. Granted it was a lot smaller than needed and even that made the lights dim, but it did plug in to a standard outlet. Probably not a good choice but the easy choice