AI has to become established as "all-knowing" and "always correct". Gain a cult-like following, eventually going from "artificial intelligence" to "absolute intelligence", the final arbitrator of all disputes. the final say on every matter.
The media is certainly working on that. Today I saw a piece on how does the perfect woman looks like, according to AI. One of the problems is that most people have no idea how AI actually works and take it for granted that it's some form of absolute intelligence.