I have a router table, so either, or, I think.

You mean use 3/4" ply for the front, 1/2" ply for sides and back. Plywood
being the question, not the 3/4".

You say to rabbet the front 3/4" into the side 1/2". Doesn't that mean too
deep.

Also doesn't that leave a gap at the front between the sides. That is where
a lock joint, or the mitred lock joint comes in. But in ply that kinda
sucks, I think, because that tiny edge is begging to break off, ain't it?