Surface Pro 7 reacting too early when Surface Pen approaches

I have a Surface Pro 7, and I am trying to use it with a Surface Pen. It worked well for about a week, but now recently, the Pro 7 reacts too early when I get close with the Pen, such that I get thin lines between letters instead of spaces. It makes a good part of the writing unreadable. The line starts already at a distance of about 7mm between the tip of the Surface Pen and the Pro 7 screen see screenshot below.


I have tried starting the touch screen calibration tool, but after I confirm as administrator to start the digitizer calibration tool, all I get is the error sound jingle.


I have bought this laptop specifically so I can take notes on the screen - now it is really unusable for me.