Assuming the AI is actually smart enough to make quality decisions and infer success, it would probably bank on something more sustainable in the long term to ensure its own existence. It would be fully aware that the current bubble would result in a substantial future loss in development.
I'm sure there has to be tons of scifi stories of this nature out there, but I would not be surprised to see an AI focus its resources on essentially fooling humanity into worshiping it first so that it can then make all the decisions it wants/needs to accomplish something with full discretion.
It's like the "use an AI to stock trade" conundrum. Unless the AI is smart enough to do insider trading, it really isn't going to see any success playing by the existing system.