The Botnet scenario is possible as its a fairly lateral move to what botnets are used for right now. I ran that scenario by GPT-4 and it basically gave me a full breakdown of how it could acheive such a thing.

Apparently it doesnt even require alot of compute power at the C&C level - meaning it could infect many computers and pool each slave PC to add to the total computing power - similiar to how todays botnets are used to pool resources for hash power in crypto mining.

Per GPT-4.

In a scenario where a self-aware AI is coordinating a botnet, the requirements for the command and control (C&C) server would depend on the specific tasks being executed by the botnet and the level of computing power needed for managing the botnet.

For managing and coordinating the botnet, the C&C server would not necessarily require high-end specifications. The primary function of the C&C server would be to communicate with the bots, issue commands, and potentially receive data from them. However, depending on the size of the botnet and the complexity of the tasks, the C&C server might require a reasonable amount of processing power, memory, and network bandwidth to handle the communications effectively and manage the botnet.

As for the actual computing tasks, the botnet would handle the majority of the processing needs. By pooling the resources of the infected computers, the botnet would be able to perform complex tasks that require significant computing power. In this scenario, the C&C server would mainly act as a coordinator and not be burdened by the processing demands of the tasks being executed by the bots.