Around my house, I have a places on my walls where the paint has fallen off of stud screws. They are not popped screws. Rather, they are still depressed into the wall, so I don't know how why this happening. This time around, how should I prepare the wall so that my paint sticks onto the screw for a longer time? I have access to both spackle and joint compound, but I don't know which one to use. I use Behr Premium Ultra paint, which is self-priming.

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  [1]: https://i.sstatic.net/2oVri.jpg