The "Liberal Media" Is A Lie
Aside from universities and other actual intellectual institutions (because reality has a liberal bias), analysis shows the biggest media outlets in the US are either centrist/nonpartisan or right wing. Here's why: because those are the people the establishment and billionaires want as a bloc.
Even in outlets like MSNBC and CBS, they still went along with certain ideas like "Joe Biden sucks" and at one point even "the coronavirus is no big deal". So they are not particularly left-leaning, though many people pretend that they are because it is convenient. Also, conservatives use the "liberal media" trope to cover up when they are wrong by blaming it on bias rather than having factually incorrect takes on things like vaccines and global warming in particular.