I initial thought that design is wrong and that it won't fit, but after few attempts I finally got it - you have to put it angled inside, place it in right place and pull up till click - just like author described in the file details. It was still very fiddly and there is visible bulge (as in photo). I don't know if that side deformation could be removed by better fit or if required by design.
I love how it looks when it works and that this is perfectly stackable solution!

