My mother threw out a statistic about police killings that she got from Fox that I was able to counter in five seconds with a Google search and a WaPo article. She said she still believed Fox. Our relationship had already been strained due to politics (summer 2020) and I nearly cut the relationship off because I was so appalled by her politics. The solution was to stop discussing those topics. It’s not as straight forward bad to reject discussion as you are suggesting.