More (and 'better') teeth usually give a 'better' quality cut.
On a 7 1/4" blade, I have some 40 tooth carbide-tipped Diablo blades made for 'smooth' cuts in plywood.
Like this:
https://www.homedepot.com/p/DIABLO-7-1-4-in-x-40-Teeth-Finish-Saw-Blade-D0740R/100017783
And like usual, you can clamp some backer/sacrificial boards to the piece that you are cutting to reduce splintering and chip-out on the cut line.
Or you can go and make a "zero clearance" insert or shoe plate to help too. Google that one.
https://www.woodworkersjournal.com/zero-clearance-insert-plywood-cutting/
If the veneer is only on one face of the board, then cut from the 'back' of the board so that the saw teeth enter INTO the veneer (so for a handheld circular saw have the 'good' face on the bottom, if on a table saw then have the 'good' face on the top).