I ran into the same problem - easily the most frustrating part of this process. To help deal with it, I took a drinking straw, cut it to be about 2 inches long, and used it as a chute to guide the screw to the hole. Dropping the screw down the straw, it'd still stick to the side due to the magnets, but using my screwdriver, it was easy to push the screw down to where it needed to go, and the straw kept the screw from being pulled out of place by the magnets.
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