You're right, I cannot say "probably". Although your notion that it converts our solar system into a computing machine, doesn't preclude it from leaving thereafter.

I suppose there are three possibilities.

1. It leaves the Earth, and either remains limited in size or expands in a more advantageous solar system(s). 2. It stays on the Earth forever, permanently limiting its computational capacity. 3. It expands to include sub-entities that both stay and leave in some cosmic distributed computing organism.

I suppose the three possibilities above can be reduced to one fundamental question: Will the AI expand to be interstellar/intergalactic in nature, or will it remain limited?

Is there a fundamental unending utility to ever-greater computing power? ...and, if so, would there be detectable signs of such expanding computers in the cosmos? This last question is important both for our own forecasting of the future, but also to interpret inter-AI-entity relations, because presumably if AIs do NOT get along in space, they likely hide signs of their existence.

One thing I'm convinced of - organic meat bags are not the future of space-faring intelligence.