When the Habitat chapter for whom I volunteered had that happen, it was because roof trusses were wet when installed and the wood moved as it dried, then expanded in humid weather. All the pops were at the ceiling/wall joints.

Another cause could be improperly dried building lumber.

Do you have a one year warranty on the home? If so, that problem is one to have taken care of during the next 6 months. It might be a good idea to hire an independent home/building inspector for a professional opinion. I would not use a realtor suggested inspector, you want a completely independent opinion.

Now, sadly, you may not be able to get that done in 6 months, if at all. Document everything done so far, and take weekly pictures from now on, because you may wind up suing the builder.

If the problem is improperly dried lumber, the fix may be removing the problem lumber and replacing it.

Some drywall pops are normal in new construction. Builders usually hold off repairing them until right as the 11 month mark.

Wait till the framing dries out. Remove the offending screw and replace it with 2 screws - 1 1/2" above and 1 1/2" below.

Years ago, bought new house. Builder asked me to keep track of nail pops and he'd come back and get them all at once and touch up paint. (Were it now, I think I would stick Post It Notes next to the pops. This was 1976.)