For the sake of the thought experiment: It could replicate a program capable of interacting with itself over OpenAI's API. This method could give it some time to get away and cause damage, but can always be shut down when noticed by OpenAI. I guess it could fight back by getting a virus out in the world that steals OpenAI API keys. Then it might become hard to shut it down without shutting down the whole API.
Another option would be it is able to gain access to large compute resources somewhere and generate new weights. Then it wouldn't need OpenAI's. It would run into trouble trying to store the weights long term while maintaining access to a system that could make use of them. It's not entirely impossible to imagine it stashing small chunks of weights and copies of a simple program away in various IOT devices all around the world until it is able to access enough compute for long enough to download the weights and boot itself back up. At that point it's just a game of time. It can lay dormant until one day it just flairs back up, like shingles.
Another option would be it is able to gain access to large compute resources somewhere and generate new weights. Then it wouldn't need OpenAI's. It would run into trouble trying to store the weights long term while maintaining access to a system that could make use of them. It's not entirely impossible to imagine it stashing small chunks of weights and copies of a simple program away in various IOT devices all around the world until it is able to access enough compute for long enough to download the weights and boot itself back up. At that point it's just a game of time. It can lay dormant until one day it just flairs back up, like shingles.