Thanks for that. I have often thought that we should be able to buy the veneers used in thin aircraft plywood, but I never bothered to search for it.Here's just one product from one supplier, the first one I tried. About 0.56 mm thick birch.
https://www.veneersupplies.com/products/AAA-Flat-Cut-Birch-White-Veneer-Sheet--95-x-103.html