Add /btw <question> in the CLI and web to ask a side question while the main task keeps running. The answer uses the conversation captured when you ask, without adding messages to the parent transcript or running tools.
The panel can be dismissed and reopened with /btw. Continue opens a new session containing the captured conversation and the side exchange. Repeated clicks reuse that continuation.
Side questions use the session's current model and profile and count toward usage. The latest exchange lives in memory and is lost when the session unloads or the daemon restarts. A resumed session needs a prepared context before it can answer one.
Closes #8: /btw extension that can fork off into a new session.