Made with medium proofgread cherry plywood, two Chicago screws (https://smile.amazon.com/gp/product/B083C3H7HN/), and wood glue.
I was only able to find 6mm Chicago screws, not 1/4-inch, so the fit between the tower and tray is very tight. As a result, I would not recommend making this with something other than proofgrade material.
Engrave the blue layer, cut the other layers. I used the default cut values for proofgrade medium cherry plywood, but cut the power in half (from 70 to 35) for the SD Graphic engrave settings.
Initially, I only glued the tray, not the tower, but after the tower popped apart a few times, I decided to glue it too. There is no need to glue the shelves within the tower, and they are cut with a much looser tolerance. Note that when assembling the tower, the front and back pieces are not quite identical, so it can be a little tricky to get right. (Some time after taking these photos, I noticed I had got them upside-down, but wasn’t able to retake the photos after fixing it.)
The dice and dragon designs are from public-domain clipart I found online; the rest is my original design.