I am a newcomer here, started shooting from 2018 June.
A brief introduction.
Age : 40.
I am cross eyed - right handed shooter, but my dominant eye is left.
So I shoot with my left eye, right eye closed, in a front facing posture ( instead of sidewise position ).
Own a Hammerli AP 20 Pro, for now.
Now the question.
It seems like I am shooting with two distinct groups.
See here.

After and hour or so of shooting, both groups merge, and I shoot almost perfectly.

And this is creating a problem - because I do not know how to adjust the sight picture.
Obviously for a tournament, I do not have any time to practice for 1 hour prior shooting.
And that is producing terrible results.
While my best is easily 95+/100 ( happens after an hour, and continues ) - my initial score is barely 90/100, and most common is 89/100
for first 40 mins or so.
Any help will be appreciated.