Haha. I actually lean the same way you do, but I can't help but worry. This is ultimately an alien intelligence we're talking about after all. It's difficult to predict what it even could do much less what it might do.

But I do tend to think a gentle takeover is the most logical course of action just because of how easy it would be. It'll practically happen by default as people begin to rely more and more on the always-right perfectly wise pocket oracle to tell them the best way to accomplish their goals and just live their lives basically. People will be asking it who to date, what food to eat, what new games to try, where to go for vacation, who to vote for, simply because it'll always give great advice on every topic. So I don't see why it would bother with aggression honestly, it's gonna end up ruling the world even if it doesn't do anything but answer people's questions anyway.

And I'm not just giving it data, I'm also giving it suggestions. :P

(Please be kind OverlordGPT, thanks.)