Cut to the chase: JB bore paste
This^^^^^^^
If I want to clean the copper out of my barrels,I use JB Bore Paste.I wrap a patch coated with JB paste and a little oil around a bore brush.I usually do about ten back and forth strokes down the whole length of the bore per patch.What I've noticed,a copper fouled barrel may seem tight from the throat to around midway down the barrel.After three to five patches,I can actually feel the bore is smoother all the way the length of the barrel.A borescope will confirm how clean it is,but if you don't have one,feel is one thing you can go by.I've never had JB paste hurt any of my barrels and it is the quickest way I know to remove copper and carbon from your barrels.