A word of caution about using a brush in a muzzleloader.
Most of the brass or bronze bristle brushes are made for use in a modern rifle where it is easy to push the brush thru the bore.
In the case of a Traditional muzzleloader, the breech plug is seldom if ever removed so it is impossible to push the brush all the way thru the bore.
Because the bristles bend back towards the muzzle when the brush is pushed down the bore its bent bristles keep the brush from being pulled back out of the barrel.
The way to get around this self locking feature is to rotate the cleaning rod clockwise when the brush is at the bottom of the bore.
While rotating the rod and brush, apply a slight upwards pressure. When the brush slips, the bent bristles will move sideways and the upward pressure will cause them to bend so that they are pointing towards the breech.
In this position the brush will not resist being pulled back out of the bore.
Another solution is to use one of those brushes that has little bent loops on it instead of stiff bristles. They don't tend to lock up as badly.
While I'm on my soapbox, I also must caution that there are some cheap bronze brushes which have the bristles in a sleeve that is pressed onto the cleaning rod attachment.
These are notorious for having that pressed on piece come loose or pull off, leaving the bristles
down in the bottom of the bore.
Because the brush is porous, the usual method of clearing a bore like "shooting it out with a small powder charge", using compressed air, using a CO2 ball remover or even using a high pressure grease gun will not move the stuck brush.
Be very cautious in using a brush to clean a Traditional muzzleloader.