Whenever "brainwashing" comes up, I'm reminded of this article: https://redsails.org/masses-elites-and-rebels/

The writer uses the term "licensing". Which I think is appropriate. We can show them that their entire society is propaganda, but they will brush it off as if it's not proving anything, then embrace the term propaganda when it's not part of their embedded culture. "Licensing", because the libs and america have a license to do bad things, even while judging others for doing those same things.