Until now, every request to Klippy started from nothing. A chat needs the opposite: the whole conversation, kept somewhere, for each person. You might reach for an array in the Worker. Don't: one Worker serves everyone, so that array would hold Alice's and Bob's chats together, and vanish whenever Cloudflare starts a fresh copy.
The fix is a Durable Object: a small server Cloudflare runs for you, one per name, each with its own SQLite database. Cloudflare's agent class, AIChatAgent, is a Durable Object that already knows how to store a chat.