Make sure it’s real Baltic Birch and not just Birch plywood. Then try the 3mm stuff first using medium maple PG settings. It should cut just like PG. If you have an issue, drop the speed 5 tics.
Birch ply is less consistent than Baltic Birch because the glues are different and you’ll hit knots and glue pockets.
Once you get a feel for it, you can use 1/4" but I find that to be a bit more variable in performance and run my own cut calibration testing against every batch.
While you’re testing I’d go with no masking or blue painters tape as your mask. That comes in 3 or 4 inch rolls if you look hard and that works fine with less effort than the skinny stuff. Try not to overlap it - butt strips against each other.
Or just sand it with an orbital sander & 150 or 220 grit paper.