I was inspired by @Aliko's project and I thank him for this idea.
I wanted to modify the original idea by thickening the walls and raising them a little.
These modifications allow the coupler not to bend but at the same time allow it to move freely vertically without hitches.
I made sure that the fit takes place in the bottom part, I gave space for movement to the front wall to prevent the AMS writing from creating friction.

This is my first project, I hope you will like it and be useful.