You will have 72 hours or 1000km …or close thereof to report delivery issues. Ie. Take pics, video etc and make an appt.
Even after this, manuf defects exterior/interior are warranty items for 4 yrs/80k so wouldn’t worry about it too much. You can book a service appt anytime even 2-3 weeks later. Our model 3 had a hood alignment issue which was addressed over a month after delivery.
Whatever you don’t see on delivery falls under 4/80.
Send some pics on the A pillar/loose piece. I find it odd they said it won’t get any better.