What is the measurement of the nose after its sized in the .363?
If possible, I'd get an incremental die diameter (.364 or .365?) that stayed above groove diameter after spring back, but still allowed easy chambering without partial sizing the nose in another die.
Also, when sizing nose first, back off the liftout plug to the point that its barely threaded so the entire bullet enters the die to get the smallest size on the nose; it also makes a more concentric bullet, since pressure imparted isn't on an unsupported bullet.
