Its called a wooden golf tee. Put one in each hole, hammer in in with a few light taps, then with a hax saw, saw off the protruding end, then tap it into the hole further.
Now, with your drill or a hand awl, make a new pilot hole, then you have it. New holes that will work well.
I have been wanting to pass on this method for such a long time.
You can glue the tees into the holes also, but the spreading feature of the screws will hold it tightly in place anyway.
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