Thanks for your answer. I can understand that you have more questions than answers
The measurements system variation is calculated with the current resolution of the measuring system. Unfortunately we don't have a MSA done.
We have do decide which kind of measuring system would be sufficient for the goal to improve the ppk to 1.33 but I understand your comment. We should try to achieve the best possible improvement.
The mixture of 2 normals was the best fit but I have checked it and found out that lognormal is also a possible good fit so I'm gonna use this distribution.
I'll try to check if I can solve this issue with the predicted results.