The fact that it's an EV doesn't matter. It will hold up fine from that perspective.
However, the debates about automated car washes of any stripe (touchless, soft cloth, spinning flaps) and their detergents and the effects on a car's finish has raged for years in the auto press and on the internet.
I suspect whichever camp you fall into on that debate will apply to the Lucid as much as to any ICE vehicle.
I baby our high-end vehicles with ceramic coatings and careful hand washings. I've been taking our uncoated Honda minivan through automatic car washes for five years and only wax it once or twice a year. Frankly, it's finish looks just as good as our other more carefully-tended cars. The minivan does have a few more scratches, but they came from the use to which we put the vehicle, not from car washes.