The Babylon Bee is not satire and here's why. Satire, by its very definition, makes truthful observations about society. Its purpose is to mock bad things like dishonesty, corruption, hypocrisy, and so forth. It only works when the premise of the observation is true.

The Bee does not make truthful observations about society. Here's an example:

Pennsylvania Election Audit Shows Benjamin Franklin Voted For Biden

The premise of the joke that article makes is "Democrats only won the 2020 election because they committed massive voter fraud". That premise is a lie. It is a partisan lie told by Republicans who want to discredit a legitimate election that they lost. Here's another example:

After Resigning For Sexual Harassment, Cuomo Immediately Hired By CNN

The only reason why the Bee picked CNN as its target here is because they dislike CNN on a partisan level. CNN has never been credibly accused of having an organizational culture that tolerates sexual misconduct.

But you know which network has? Fox. In recent years, both Fox's CEO (Roger Ailes) and highest rated anchor (Bill O'Reilly) were forced to resign due to sexual misconduct. So the Bee could have made a joke with a truthful premise if they had replaced CNN with Fox in the article. But they didn't, because they're only interested in attacking their partisan enemies. They have no desire to mock Fox for anything because Fox acts as propaganda for the Bee's preferred partisan allies.

In conclusion, satire cannot come from a place of partisan agendas. It has to attack absurdity no matter where it lies. That is not what the Babylon Bee does. The Bee only exists to push its preferred partisan narrative, and so it ignores dishonesty, hypocrisy, and corruption when it comes from the Bee's partisan allies. That's why its not satire.