There is a something called natural point of aim.
It is the reason you see so many people shoot pretty well when they first try target shooting. It's when they start trying to be extra accurate that things go haywire.
Centering a shot is an old thing that used be taught.
Basically center the weapon on your own torso extend your arms and make sure the target is within your perceived shoulders.
draw a line from each shoulder at the top of the arm and turn your torso until the bad guy is within your shoulders and fire.
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