I noticed when you open a new tab and scrolls to the news you don´t have an option to "don´t suggest this site anymore", sometime this type of option is very useful, for example, there is a lot of sites on internet spreading fake news and pseudo science as well as sites we simple don´t like, delete this sites definitely from news recommendation is a good deal for dot not pollute our personal feed.

I think the option of "Do not recommend this site again" would be fine in this cascade menu above each news item: