What can I use that will allow me to get the three shots he was talking about in the article?
Spit.
Pop a clean dry patch in your mouth and make it wet. For the ball patch and the swab,,
I've read your old posts, you got stuck on the commercial marketing,, of course they're ALL the best,, just ask'm. Honest, each and every one of them is the best thing on the market.
The carbon/fouling deposit needs more "wet" to be controlled, and that is the issue, control of the never ending deposits from shot to shot.
Now chances are your rifles barrel already has "hard" deposits from the products you've been using. Some of that stuff is serious hard to clean out and even tougher for a new guy without a mentor standing next to ya.
Share with us how you clean the barrel after a session. There are no wrong answers because there's many ways,, but we might find a way to help ya move past these troubles if we know what you've been doing.
It's all part of the learning process, we've all been through it.
That "3 shot" thing in the shared articular was the man mocking the minute man,, and then rightfully (IMHO) casting disfavor on all the commercial products listed.
Grease bad, Water good.