I failed big time....
Once I got half of the screen bezel off (was a pain) I inserted little plastic parts to keep the screen where it should be. Unfortunately that resulted in a very unstable connection of the webcam for some reason until it stopped working altogether. I tried getting the bezel completely off to get to the webcam cable but ultimately broke the screen a little. I now have a few centimeters of funny random colors in a vertical bar across the center of the screen... I'm mildly amused...
Just ordered a replacement screen, meh... If you try repairing or improving things, you might break them...

