I can't remember ever looking to see if the screw inserts into the wood or a metal bracket but but I suspect that tapping the hole for the next size screw is also an option. Tap and die sets are pretty cheap and will always come in handy down the road.

Another more old fashioned possibility (if the screw goes into wood, not a metal bracket) is to jam a sliver of hardwood into the hole and re-insert the screw. You would be surprised how solid this can be.
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