I've always found this an interesting topic. Opinions about "barrel break in" vary widely among riflemen with a whole hell of a lot more experience than I have, (as most do). Opinions I've read range from "Just shoot", to a super involved "Remington" regimen involving a couple of hundred rounds, (I'm sure you can find this with some googling).
Anyhow, I decided to follow a break in procedure using 10 x 1 for starts, then 5 x 2, then 4 x 5 for 40 rds total. On the one hand its a pain in the arse but on the other hand, who doesn't enjoy shooting a new firearm ?
As the OP now knows, the mission is to chase
copper and, though you only have my word on this, I swear my barrels (just hammer forged factory jobs) foul less as a result of the effort. Some will think I'm deluded and that's ok. I'm aware the topic is contentious so I'm as unoffended as I am convinced

.
My .338 LM had me worried at first. During my first 10 shots initial patches came out bright blue and both sweets
and JB's paste were needed before I could produce a white, copper free patch between shots. Happily, by the end of the procedure, 5 shots leave only the faintest hint of CU on a first patch soaked in Boretech Copper Buster. Mission accomplished IMHO.
You can wreck a barrel cleaning it. If, therefore, you're going to do all this cleaning it is wise IMHO to spend a few bux on a proper rod and guide and educate yourself as to the do's and dont's of cleaning so you know enough not reverse brushes inside the barrel and how not to bang up your crown. Care to the point of being pedantic and determination to produce a perfectly clean patch before taking the next shot add to the tedium of doing this but I think its also what makes it work.
My List:
Bore guide by TK Nowlan.
Polished stainless rod,
not coated.
Nylon brushes
Sweets / Bore Tech Cu Buster.
JB bore baste
Bore tech Eliminator.
Plenty of cotton patches
A Day
Now all this probably has some experienced guys either rolling their eyes or pissin themselves laughing. I'm not, as I've already said, an experienced rifleman but an experimenting duffer. Still, the experiment has me convinced the effort is worthwhile and thus far, I haven't buggered any barrels (3),, so there you have it, my opinion

.