IMO, CLP is not gonna clean your bore, ya should use a bore cleaner like Hoppes #9 or my choice Sweets 7.62 as a bore cleaner. This is why it took so long to get the bore clean.
As to break-in, IF this is a chrome chambered and chrome-lined barrel breakin is not necessary, but I use the same method for all my rifles. Shoot 10-20 rounds and clean throughly, shoot 40-50 rounds and clean throughly, from then on, I clean when done with the shooting session no matter the round count.
Mike
PS - w/ the Sweets, which is/can be harmful if left in bore for extended periods, ya should rinse it out throughly, I use a clean carb cleaner like the SuperTech 2000 sold by Walmart for this rinsing, BTW this works well for blowing the carbon outta the gas-tube too. If I'm going right back to shooting, I don't lube the bore, if I'm done shooting for the day, I lube the bore w/ a CLP soaked patch and run 2 or 3 dry patches to remove the excess.