I'm confused about the instructions and the pictures. The pictures imply that the clip should be bent, but the text may describe the method that I applied:

I inserted tweezers at the left side of the clip (there where the springy part snaps under a metal tab). By carefully placing each 'tweeze' of the tweezer on both sides of the tab, it is possible to gently pushing the springy part to the right, and then it releases without having to deform that entire bracket.

After re-reading the instructions, that may be what is implied, but if one were to look at only the pictures it could suggest something different.