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Looks like 5-6 layers of 18mm birch ply too me although hard to tell. As you say lots of glue lots of clamps, hopefully some joinery for the joints.
If I were making it I'd glue the legs up oversized all together with some parallel clamps, and then rip to final size on the table saw. You could get clever with the laminations to premake the mortice and tenons as part of the laminations.
The frame they're using is just 3 sheets glued together right? So some glue and a load of clamps? Not sure if that's a composite image rather than a photo so can't tell - but basically if I wanted solid legs like that rather than metal trestle, what would be my best bet?
Tempted to get this madeinply bunch to do the surface as (I hope) they'd do it to a higher standard than I could. But not sure about legs.
https://madeinply.co.uk/collections/custom-desks/products/custom-plywood-desk-with-solid-frame?material_desktop=Natural%20Plywood&material_legs=Natural%20Plywood&thickness=18&width=1200&depth=600&height=710&feet_style=Adjustable%20Feet