Integrating FireFox to any external system, particularly an AI, could potentially mean that the user's information would get sent to that external system. It might also mean the user ends up needing to accept the Terms of Service for ALL external services that FireFox integrates with.
Some people do not wish to do business with certain companies, or may not want their data sent or exchanged with certain companies or even foreign countries (since some AIs are based outside the US).
Any AI should be added as a plug-in or extension. That way users can accept the risk and legal agreements for those external systems they want to use and not all such systems that someone else wants to use.
i suggest to add Grok to list of AI on the side bar and user have to select his needs. So, if user select Grok or ChatGPT then he accepted the risk. Another thing, user might have paid subscription. So, he will not lose his subscription because he likes using Firefox sidebar.