Mo,
One thing to consider, based on what I've found myself, is that the size of the round & solidly-colored bull can make a difference in group sizes, by virtue of either making it too small to see or too large to aim at precisely in relation to the sights.
The too-small part is obvious.
The too-big part may need some explanation.
First, DO NOT try to go for a center hold right now.
The center of the bull is harder for the eye to determine with consistency (and remember consistency is what you're going for) than using a six o/clock hold with the bottom edge of the black target on top of the front sight.
Important to understand that, at this stage of the game in learning to shoot accurately and in determining whether your larger groups are you or the gun, the goal is not merely to "hit the target", but to HIT IT IN THE SAME PLACE, or as close as you can, on each shot fired.
You settle for aiming at the elusive center of the black bull, you'll be settling for lesser accuracy, which will still leave you wondering if it's you or the rifle.
In determining bull's-eye size, if you use a "dot" that's too big, you have a less precise aiming point.
A dot with outer edges that come closer to the same width as your front blade (in your sight picture), will generally work better in that regard than one whose outer diameter/edges extend way beyond your front sight edges.
The smaller dot is easier to align the blade's edges with & center the blade between the outer dot edges.
A paper plate is too big.
You can buy standard 100-yard black rifle target bulls in volume off Amazon & they're a decent size, not expensive, and can be re-used by taping over the holes.
They are standardized for competition & used in matches all over.
A hint- to keep a SOLID black dot entirely black with clear definition, don't cover it up with white tape as you continually tape over bullet holes.
You'll eventually lose the black definition, more so each time you add white to the black.
Either buy black stickies, or color the white tape over with a Magic Marker or something similar.
I go through targets like water in my job, so I look for the cheapest method of dealing with them. I buy in bulk packs, use simple masking tape to cover holes, blacked out with a Sharpie.
Buy in bulk, re-use the same targets, get the right size target, stay CONSISTENT with the same clearly-defined BLACK target.
If you progress to a point where you're shooting well enough with your Mosin using standardized 100-yard rifle bulls, you can drop down to smaller standardized 25-yard black pistol bulls & use them at 100.
14-year-old eyes should be able to pull that off.
NOT YET, THOUGH!!!!!!
Go with the bigger rifle bulls.
One important thing that I'm continually emphasizing with you is eliminating variables.
Don't be bouncing around shooting at different distances.
Don't be switching back & forth with different targets (red, black, different sizes, printed, stickies, drawings, etc.).
Don't be rotating different ammunition (surplus, commercial, different bullet weights).
Don't be monkeying around with shims, whims, and corks. Not yet.
Denis