Got some advice for you.
With that case conditioning kit. Throw that chamfer tool in the garbage and get one of these.
The first one I bought was the Lee tool. It cost around a buck, while the ones like this were around ten. I fought with it for about 5 years, and then finally broke down and bought one of these. Then I pitched that Lee piece of crap.
While you're throwing that out, toss the primer pocket cleaner, also. It was so bad that I ended up using a 1/8" flat tip screwdriver. It worked much better, and was much easier to use.
Now I have this.
It's two small wire brushes. They screw into the handle. Very easy to use, and work excellently. Two because of small and large pockets.
Lee makes some good stuff. A whole lot of my equipment is Lee. But those two are junk.
Meddle not in the affairs of dragons, for thou art crunchy, and taste good with catsup - George of Lod, Year of Our Lord 297
I always take precautions.
Beware the Evil Bullet Fairies.