If you need both the top and bottom edges clean, then you want to cut the profile with a compression bit.
If you can, I'd try to go up to a 4-5Kw spindle, which should let you cut the profile in one pass with a 10mm compression bit. Machine rigidity will dictate how fast you can go, but I've cut 19mm board in one pass at ~17m/min with a 10mm compression bit.

If your limited to 3Kw, then I'd probably try using a 1/4" compression bit for everything. Cut the profiles slightly oversize in 3 passes, with a final cleanup pass at full depth, removing about .5mm.