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