Step 2A Proposed Solution:
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The quickest way to improve the "grab" of most screwdriver tips is to carefully grind away a small amount of the tip. It may intuitively seem like this would make the screwdriver useless for small screws, but since the portion being removed has no ability to turn a screw, it really just makes it less useful for puncturing things. You don't want to use a powered grinder, since you want to remove (usually) less than a millimeter. The best thing is a fine diamond file, or a sharpening stone. Some fine sandpaper on a block will work if you're carefull not to shred it. Most normal files are too coarse to drag smoothly across the tip without snagging. In any case, you want to grind it squarely, without rounding it off, and the easiest way to do this is to place the grinding surface perpendicular to another flat surface, and slide the screwdriver back and forth while resting on that surface, holding it securely and close to the tip.