To add Kagi to Firefox, we can just click a shortcut in the search bar as indicated in FAQ section. This shortcut could include the session token if the user is logged, which helps a lot in private tabs and shouldn't cause major problems if the session token is not traceable to the owner. The only thing that needs to be taken of (I don't know if this already happens) is to ignore the token in the URL if a session cookie is detected, in case someone logs out and in again.