I wouldn't lap a bore. Especially if you don't have the measuring tools to ensure you're doing it evenly over the full length of it.
Instead, shoot it a few times to lay enough copper in the rough spots low points, then no more copper will get removed from subsequent bullets.
Having shot a number of rounds of match grade ammo in rough bores of commercial and arsenal barrels, they all did quite well after half a dozen or so shots were fired through them. Clean them reasonably well but not enough to take that copper out of the bore. Copper plated bores are your friend if the bore's rough. All my match grade arsenal barrels in Garands had a lot of copper wash in them when they shot most accurate. No worse than 4 to 5 inches at 600 yards with a copper plated bore is something to rejoice with.
Besides, opening up a bore a few ten-thousandths typically makes them less accurate. Worse if it's not done uniformly. Fire lapping a bore makes it larger at the back end where the abrasive on the bullet removes the most metal.
If any barrel shoots bad after a dozen or more shots, I doubt it's copper fouling that cause the problem. If shots start stringing in one direction as the barrel warms up, that's a sure sign of the barrel not fit properly to the receiver. Too bad that virtually all commercial rifles do that, but they don't square up their receiver faces so their barrels fit hard at only one point around the barrel shoulder against the receiver.
Sometimes (more often than people realize), the human shooting the rifle changes his position and how the rifle's held against him after several shots are fired. That's one sure way to have bullets no longer strike the point of aim.