History
What this browser remembers about you, and every conversation you have had with the mascots. Both are stored here and nowhere else.
Persistent memory
Injected into every prompt as known facts, before the conversation. This is the browser's own memory: each puck keeps a separate one on its History page.
Conversations
Nothing yet. Anything you say on the Talk page is kept here.
A new conversation starts after ten minutes without a turn, when you change mascot, or when you clear it on the Talk page — but nothing is thrown away until you delete it. The mascots themselves are only ever told the last few exchanges of the conversation in progress; the memory above is what they know beyond that.