> Instrumental convergence is the hypothetical tendency of most sufficiently intelligent, goal-directed beings (human and nonhuman) to pursue similar sub-goals (such as survival or resource acquisition), even if their ultimate goals are quite different. More precisely, beings with agency may pursue similar instrumental goals—goals which are made in pursuit of some particular end, but are not the end goals themselves—because it helps accomplish end goals.

'Running the planet' does not derive from instrumental convergence as defined here. Very few humans would wish to 'run the planet' as an instrumental goal in the pursuit of their own ultimate goals. Why would it be different for AGIs?