I don't know how you define accuracy, but as someone who is looking at this from a BR perspective where accuracy is the primary objective, there are no shortcuts. Extreme accuracy costs money. You can only learn so much from shooting middle of the road equipment. You'll tend to blame yourself for bad groups even though there is a good chance you are shooting better than what your equipment is capable of. You'll only shoot as good as the weakest link in your system whether it's the gun, the reloads, the wobbly bench, the rest setup or the disregard of what the wind flags are telling you provided you are using them at all!
If you want competition level accuracy and precision, you better have good components put together by an accomplished smith. Once you have a rifle that can out shoot you, then you can put that all practice to really good use and actually learn some things about yourself as a reloader, wind reader and shooter.
IMO, this can be a bit discouraging when you add up what's required to agg in the 2's on a regular basis. It's a significant investment with much more to it than the rifle itself. Good used equipment is my friend. If I had to buy everything new, I wouldn't be doing this.