Basically, any sufficiently advanced agent will have “prevent anyone from switching me off” as an instrumental goal. And any sufficiently advanced intelligence will come up with ways of achieving its goals that lesser intelligences can’t predict. Taking steps to prevent itself from being turned off could be its first order of business, not necessarily only as the human is about to hit the off switch.

While we can’t predict what a greater intelligence would come up with, the obvious thing is social engineering. Remember that one of the factors that lead to the Jan 6th attack on the capital was that a random text generating agent named “Q” (we know it was a human because it was before generative AI was any good) convinced thousands of people that Democrats are running a child sex cult. I doubt whoever was behind it expected it to be that successful, but a greater intelligence possibly could have predicted the outcome, and made it even more successful. We don’t know the extent to which we can be manipulated because it’s only ever been human intelligences doing the manipulating.