alt Hacker Newsno the AI doesn't actually need to interact with world economy it just needs to be capable of self-substence by providing energy and material usage. But when AI takes off completely it can vertically integrate with the supply of energy and material.
wealth is not a thing in itself, it's a representation of value and purchasing power. It will create its own economy when it is able to mine material and automate energy generation.
You aren't seeing the end goal clearly enough.
The end goal is to ensure the survival of a small group of technocrats that control all production on Earth due to the force multiplier effect of technological advancements. This necessitates the depopulation of Earth.