Sure, this will help with some initial growth in computing resources, if this is seen as a required goal by an "evil" AGI agent before the destruction of humans

Sure, this will help with some initial growth in computing resources, if this is seen as a required goal by an "evil" AGI agent before the destruction of humans. And it will have an easy time to hide in the growing computing industry. But if it e.g. kills all humans, it's suddenly left with a limited number of chips and can't grow beyond that number, without being able to manufacture new chips. It can't survive for really long times due to degradation of its own hardware. It might try to monitor humans first as they build and run chip fabs, debug issues, etc. Those fabs themselves need tools that have complex manufacturing processes of their own. It's extremely complicated. The AGI might be able to pull it off because it's so smart, but I wouldn't call it a trivial task. Unless you say that practically anything is trivial for AGI because of its capabilities, but then the sentence "x is trivial" loses meaning :).