To be honest, I dont know if the break in procedure makes a difference to rifles in truth or not. The ones I have done all seem to clean easier than ones where I didnt but I cant say for certain this is because they were run in. HOWEVER: If you look at the process of running in at the same time as sighting in and bear in mind this is also the first time you will use the rifle, think of it as a first date and getting to know it.
The usual procedure is fire a shot, wait a few minutes for it to cool, fire a shot and repeat for the first 10 rounds cleaning between each round. The for the second ten do 5x 2 shot groups with the same procedure between groups. Now sighting in fire a shot at the target, (close range first so around 25 or 50 metres. Adjust scope wait for a minute and repeat.
You will spend around a packet getting used to the rifle, so what harm will it do the clean it between each shot? It certainly wont hurt it. And if the first round of your break in procedure is also the first round of your sight in procedure then it does not cost you extra ammo either as you will be sighting it in and getting used to it anyway.
Does that make sense?
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