Critical thinking does not mean that you dismiss the information. It just means that you take the potential bias into account.

The media are often pretty bad at doing this: they will often make some kind of average on what is being said, like "the scientific consensus says that cigarettes are killing you, but a study sponsored by Philip Morris says that they are not, so... well we don't know". Where actually it should be pretty obvious that Philip Morris is extremely biased on that, and the scientific consensus is not.

Not every voice is worth the same. During covid, there was a tendency to relay all kinds of opinions, without making the difference between actual experts and non-experts. Sometimes even saying "this person is a doctor, so they know", which is wrong: being a doctor doesn't make you an expert on coronaviruses or epidemiology.

Whenever we get information, we should think about how much trust we can put into it, how biased the authors maybe (consciously or not), etc. Elon Musk saying that going to Mars can help humanity is not worth much. Because he is rich and successful does not make him right. Yet many people relay "Musk predicts that [...]", as some kind of truth.