I clean my barrel every time I shoot it.
I run several cotton patches through soaked with CLP until they start not being black and are light gray, then run a brass brush through several times to break away copper buildup, then CLP soaked patches a few more times.
If I suspect copper buildup in the bore rifling grooves, I will use copper solvent. Then the Bore snake 2 or three times. Then if the patches are coming through white, one final CLP soaked patch, and its done. I also clean any powder residue from all the other parts, and put Tetra grease on the slide grooves.
Then I'm done. I do this every time I shoot. Army ingrained this into me.
Brass is softer than steel, a brass brush will not hurt your barrel. Copper buildup can hurt accuracy if bad enough.
Your results may vary.