When "moving" the new node group to the same library as the object, its
original name has to be cleared from the name-map as well. That's
because there is a separate name-map for each library. I had this in
the original PR, but incorrectly removed this because I thought it was
unnecessary.
Pull Request: https://projects.blender.org/blender/blender/pulls/119747
040ff38fcd