I hook up to 15 amp at home all the time when the TT is parked, you can get adapters at Walmart for low cost that are good quality. I run our fridge and keep our battery charged when our TT is sitting home. On a real hot day, I can run the A/C on low cool and it's fine. It will trip if I try to run A/C on high.
My AC runs on 15 amp just fine as long as I ha e no other large loads on at the same time. Had my exterior fridge trying to cool full blast with the AC, and it tripped the breaker at my in-laws place. Was through a 100' cord too, which doesn't help.
Every time I plugged my old ceiling AC (13,500 btu) into the house 15 amp outlet it blew the breaker after a few minutes. The reason you have a 30 amp cord is because you may need 30 to run everything!
I now have a 2017 195RB with a 5,000 btu window AC that runs fine.
I have a little plug in voltage detector that show a 120 volt to 117 volt drop when the AC compressor is running.
It varies by AC unit what the lowest recommended voltage is allowed before potential damage.
IF I saw below 110 volts I would run an AC on it.
2017 SLX 195RB
2021 Jeep Grand Cherokee Summit L 5.7L V8
Andersen WDH hitch, Renogy 100 AH Lithium &
200 Watts solar panels from Renogy
Prev. '14 Jeep Grand Cherokee Overland, gas 3.6 V6
You can, but I recommend using the largest AWG (wire size) cord possible. 10 AWG is most ideal, 12 AWG is acceptable as well using shortest cord possible. These are key to not only prevent damage to power cord but also not "starve the A\C of power". Keep in mind of things that receive power that you don't normally think of like your converter that is powering lights and charging the battery. They may cause you to trip a breaker, if you can go without charging battery you turn off breaker to converter at the service panel to save some amperage.