I unfortunately and reluctantly am forced to agree with you. Except about Breitbart being legitimate (sorry, can't do it).
My dad explained this to me very crudely some years ago, (but as he's a Daily Mail reader I dismiss everything he says by default).
In this case though, it really does require you to read broadly to get out of your opinion bubble.
The BBC is a perfect case study of this. It's got a charter that is supposed to make it explicitly neutral, but of course that's unenforceable in reality (what's biased and not is going to be a matter of opinion), as evidenced by their approach anytime the question of the license fee comes up in public discourse.
There's probably money to be made by crawling a variety of news sources, throwing the output into an AI fanoogler, and using it to write a separate article that balances the views on the given topic as a separate news site.
Obviously I'll require majority equity. Fanoogler R&D isn't cheap you know.