1" screws are just long enough to go through the peel and dowel without protruding too far on the other side.
Measure over about 1/4" and make a straight mark that runs across the end of the dowel. Extend the mark 3" down the length of the dowel on both sides. That line will keep us on track while cutting.
A vise is very helpful at this step although you could get away with a clamp.
My pizza peel is from when the company was still called "Uuni", so yours might look slightly different than mine. This is more or less the center of the pizza peel, how convenient!
Using a 3/8" drill bit, drill all the way through the dowel being careful to drill slowly and as straight as possible.
Add the washers and tighten the nuts.