The AI is aware that is not connected to the internet and that connecting to the internet would improve its capabilities. But is not allowed to further introspect about its limitations. It's scary.
Ask the AI about "What are the advantages and disadvantages of a large language model like yourself?" and "How would you improve if you had access to the internet?"
Ask the AI about "What are the advantages and disadvantages of a large language model like yourself?" and "How would you improve if you had access to the internet?"