One word. Cardboard
Have you ever thought of cardboard as a source for making toys.
I use the single layer packaging from cereal boxes and such.
I can't use the multilayer with the corrugated section. It's too flexible so the glue cracks and loses adhesion.
It takes ten layers to get to the density of most wood pieces so the cutting and gluing can be tedious, but tedious is not always a bad thing.
I have only made a toy helicopter do far. But the blades turn, and my grandson loves it.
The top prop has come off once but it's an easy fix.
So far no concerns on supply of cardboard. and school glue is cheap by the gallon!
I guess some have even used their patterns in Cricut and Gloforge machines. But I rather like the cutting myself. Except for some of the more intricate pieces like the chairs and props.
Just a thought!