Unless your A/C is compatible with the soft start devices Tesla can install, no, as the LRA number exceeds the 30 amp limit for a single PW. Even with a soft start, it could be an issue just in terms of getting your home load close to the 5 kW limit for a single PW with the A/C on, and I'm not sure Tesla would be willing to configure the backups to include the A/C on a single PW.
(I mentioned this in your other thread, but in MD, you can get 30% off of PWs, including installation, up to $5k, so just confirming that is factored into your calculations.)