Storing session-related data for custom social login

I’ve created a custom social connection, and have written a fetch user profile script. I would like to store something from the fetch user profile script’s context (a field in the token response), and be able to access that thing in an Action where I customize claims in the token. I can’t store it on the user or app metadata because it’s not an attribute of the user, it’s an attribute of the session. In other words, the same user might log in multiple times and each time this field would differ. Is there a place where I can save this info and then retrieve it when I setup my custom claims?