Not until someone looks at why the lights flicker. A brief dip when a central-air compressor or a well pump starts is a common complaint and can come from ordinary starting current, a long or undersized service, a loose neutral or lug, or a service that is already unhappy. Adding a Level 2 charger will not fix that, and a continuous 7.68 kW or 11.52 kW load can make a weak service more obvious. Treat the flicker as a diagnostic flag, not as a yes-or-no load calculation.
An electrician may measure voltage at the panel and at far receptacles when the compressor starts, check terminations, and then run the same load calculation or measured-demand check you would have run anyway. Sometimes the service is fine and the flicker is a long feeder or a failing capacitor on the outdoor unit. Sometimes the right first project is a repair or a heavy-up, and the charger comes second.
Do not add the charger in the hope that the flicker was cosmetic. Use the calculator for the capacity arithmetic after the inspection, not instead of it.
This is not a permit calculation, a utility approval, or a substitute for a licensed electrician, HVAC contractor, or the authority having jurisdiction. Panel Headroom is an independent educational site. It is not a utility, a certification body, or a contractor. Electrical and generator work that is done incorrectly can cause fire, shock, or carbon monoxide poisoning. Use the adopted electrical code and manufacturer instructions; pull permits where required.