JMHO, You did no harm to your barrel. I don't do break in on Savage barrels or any other barrels. The cleaning done on a new barrel and the cleaning between shooting sessions you did is plenty.
As for copper, I use GunSlick foaming bore cleaner. It contains no Amonia and is so easy copper becomes a non issue.
Enjoy shooting your rifle and clean it when and if you feel it needs it.
That's My take...Jim :-)
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