WuHututu/dsh-side-chat

Opens a temporary side conversation in the right Sidebar that reuses the host conversation UI, so answers render with the same markdown, tool steps, timing and token usage as the main thread. Selecting part of an answer opens that conversation side chat with the passage quoted: the quote waits as a pill inside the composer, rides along with the next message, and joins the side chat context. The side chat runs on its own memory-only session: the parent snapshot is reference context only, and nothing is written to the session log.