The new tap came with a support piece that was not mentioned in the installation instructions. I only learned about it after I had finished installing it.
I did not want to undo it all, but I felt terrible not using that part that was supposed to give better stability to the tap mount. So, I designed and printed a replacement part made of two halves that could be joined without removing the water tubes.
The final result looks ok, but my part was a bit larger than the original one (I only measured the inner hole).
The author marked this model as their own original creation.