Nose Punch for Lee bullet

I started casting for my .375 JDJ rifle with Lee's 379-250-RF bullet. It is designed for .38-55 loads and is plain base. When I ordered it I guessed at which nose punch to use in my Lyman lube-sizer. Guessed wrong so I'm asking if anyone here knows which nose punch is the right one. Lubing with Carnauba Red and filling both lube grooves. Sizing to .376".

Anyone?

On occasion I have placed a small ball of aluminum foil, not too tight, inside a top punch then sized a bullet. The ball will crush to the shape of the bullet and will work very well.

When I needed an exact match I'd use a bit of JB Weld in the punch and 'mold' it to the bullet nose.