I didn’t think that vatican.va or ex cathedra proclamations from popes would be good enough for some Catholics.
Thanks for proving that.
You’ve not bothered citing them. You’ve cited everything else but Lumen Gentium. Why is this? Is it because Lumen Gentium shows that you are wrong?
Again, you are free to believe what you want, but you are not free to teach whatever you like about the Catholic church.