Your scapula are dysfunctional. You need to re-learn how to use them and correct your posture and form. That much I can tell you 100% for certain. Beyond that, once you have taken at least 3-6 months to truly relearn scapular motion you will want to build your pull ups in all the grips and eventually start doing pull ups with ropes, and then climbing ropes.
I have kind of the same issue. I have hyperkyphosis, but the last years it got a lot better. Instead, i have now muscle induration on the upper back, between my left should blade. Try to fix this by massaging and several exercises by Ido Portal.
Exspecially when i do the scapular exercise from Ido Portal I can feel the muscle induration after the exercise.
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Other exercises are your shoulder stretch and Ido's Shoulder routine.
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Do you know any other exercises for the scapula or any idea how to loose the muscle induration caused from hyperkyphosis?
I already get treatment, but mostly this are massages and i want to do more to get better.