I would do this method

A note of warning breaking in a barrel does not make a barrel inherently more accurate. What it will do is make it more consistent and give it a longer life. For these reasons we do recommend a good quality break in procedure. We will not attempt to go into great detail with regards to why this is important. Nor will we describe what it does to the barrel as far as breaking it in or any more of the more scientific reasons and effects of this procedure. Many volumes of books have been written with regards to break-in and we will not attempt to rewrite any of it.
Fire, Clean, Treat, Lubricate and Fire Method
Clean the barrel well.
Make sure the patches come out clean and white.
Use the cleaner of your choice (do not use ammonia-based cleaners). Use of a lead or copper solvent is okay.
Make sure you have the barrel cleaned and neutralized in the bore.
Apply the lubricant-bore treatment.
Dry the bore with a clean dry patch.
Use the quality ammunition of your choice and fire ONE round.
Repeat Step 1 for the next 24 rounds.
At round 25, repeat Step 1. Change from firing ONE round to THREE.
Repeat Step 3 until you have fired 50 rounds total.
At round 51, repeat Step 1. Change from firing THREE rounds to FIVE.
Repeat Step 5 until you have fired 100 rounds total.
After firing 100 rounds total clean and treat the bore as in Step 1, then fire for a group. Your barrel is now broken in.