Both of you are going about this side ways. You are not giving good info. Maybe because you don't know the why. Knowing the why and what will help both of you be right and happy. I would not be happy if I burned up an AC unit.
As someone said earlier, 30amps will work fine, as long as it is 120 volt service. 240 volt service(as most dryers are, will let the smoke out and something will not work any more.
What you need to know is how many volts you have left. Get a
Kill-A-Watt. It will tell you how many volts you have a available. If they drop below 108 volts, you will start incurring heat damage to your AC and other appliances being used. There may not seem to be any issues at the time this can reduce the life of your AC. Those motors don't like heat. Look at the cost of replacing the AC. This will convince you that a little info and diligence and the cost of the Kill-A-Watt is worth it and it will help the DW to understand.