I solved the puzzle by adding a tiny loose tenon between each segment. I cut a slot using only my regular blade 3/8" deep. Then I cut the tenons 3/4" wide and the thickness of the blade. It took a little experimentation to get the correct thickness. Here are some pictures.

Cutting for thickness.

Dry fit.

Here’s a bunch ready to cut down to size.

Assembly.

Worked out well. I trimmed the tenons with a jigsaw then sanded them down flush.

Losing fingers since 1969