Firefox AI Sidebar Chatbot repeatedly logs out of Gemini session on panel toggle or tab switch.

When using the official Firefox AI sidebar integration configured with Gemini, the user authentication status is not persistently maintained. Every time the sidebar is minimized/closed, or when switching within the sidebar interface (such as clicking away to view Chat History and returning), the session state is destroyed. The sidebar immediately defaults back to a generic splash page prompting the user to "Sign In" again, effectively breaking the seamless chat experience.