List the open bot's recent sessions in the rail

Show the latest five sessions under the active bot, with All sessions opening the existing modal once there are more. Share the session modal, row and hook outside the conversation page, and mark the current session with a muted row.

AGENTS.md

@@ -87,7 +87,7 @@ Inspect live data with `bun llm-code-assistant/query-db.ts "<sql>"` - a read-onl
 
 - **Access (the crew is shared):** bots, workspaces and computers belong to the install, not to a user (their `user_id` is only who created them, not a foreign key). Nobody reaches a bot until a super admin or admin grants it: `bot_users` (a worker assigned to a user, for its own chat) and `workspace_users` (a user added to a workspace, to chat with every worker in it there). `crewRole` (`src/utils/rbac/crew-role.ts`): `super_admin` reaches everything and is the only one who ever sees, chats with or edits the coordinator; `admin` reaches every worker and workspace; anyone else (`member`) only their grants. `canManageCrew` (super admins and admins) creates, edits and deletes workers and workspaces, sets their models and pictures, and hands out access (the Bots and Workspaces groups on a user's settings page, `user-access-groups.tsx`, each added or taken away at once by `api/admin/users/add-access` and `remove-access` through `setUserGrant`); the structural DB helpers check it themselves (`assertCrewManager`, `src/functions/backend/db/access/`). The SQL conditions live in `src/utils/crew-access/` (`chatBotsSql`, `workspacesSql`, `workspaceBotsSql`, `computersSql`, tested against SQLite) and back `grabChatBot` (its own chat), `grabUserBot` (anywhere: its own chat or a workspace), `grabUserWorkspace(s)`, `grabWorkspaceBot`, `grabBots` and `grabUserComputer(s)`. Conversations are per user (`bot_sessions.user_id`): a job runs for the user whose session it's in (`runBotJob` reads it), with that user's memory and only what they reach. A bot's face and status line are per user too (`bot_user_faces`, set by `setBotFace` for the job's user, `grabJobUserId`; no row is idle), so needs-you or working only shows to the user the job is for; every bot read for a page overlays the viewer's (`botFaceSql`, `src/utils/bot-face-sql.ts`). Live updates go to the session's user (`pushToSessionUser`), a face change to its user, and a bot change (its computer) to everyone who sees it (`pushBotUpdated`, `grabBotAudience`, each with their own face and active task); its status line never names a task (`BotTaskStatusLine`). Bot and workspace pictures are served to whoever sees them (`grabSharedPictureMedia`). A member with nothing granted lands on an empty `/admin/bots`; a workspace's dashboard is open to everyone in it, its settings link and computers' settings links only to `canManageCrew`. `src/scripts/share-crew.ts` (safe to rerun) moved an install from one crew per user to this.
 - **Tables:** `bots` (`kind` worker|coordinator, `hue`, `role`, `system_prompt` (the bot's core instructions, markdown)), `bot_user_faces` (`face`, `status_line` per bot and user), `bot_sessions`, `bot_messages`, `bot_tasks`, `bot_task_steps`. Enums in `src/dict/bot-dict.ts`.
-- **Threads and sessions:** each user has one conversation with a bot in its own chat and one per workspace it's in (the coordinator in every workspace). Each is split into `bot_sessions` (`user_id`, `bot_id`, `workspace_id` null for its own chat, `status` active|closed, `title` from the first user message, `summary`, `previous_session_id`, `unread`, `last_activity_at`); `bot_messages`, `bot_tasks` and `bots_queue` carry `session_id` and `workspace_id`. Helpers in `src/functions/backend/db/bot-sessions/`: `ensureBotSession` (the active one, else a new one; `rollover` starts the next once it has `AppData.BotSessionMaxMessages`), `startBotSession`, `reopenBotSession`, `grabBotSessions` (search over title, summary and message text), `grabUserConversation` (access and membership), `grabConversationProps` (the conversation pages' props). A new session's first reply gets the previous one's summary (`grab-session-carry-over.ts`, written once with the text harness). The header's sessions icon (`(partials)/bot-sessions-modal.tsx`) lists, searches, starts and reopens sessions, and the new-session icon beside it (`(partials)/new-session-button.tsx`) starts one (`api/admin/bots/list-sessions`, `new-session`, `reopen-session`). Unread, the rail's last message and activity are per thread, from its sessions. Job results go into the job's own session, even after it closes.
+- **Threads and sessions:** each user has one conversation with a bot in its own chat and one per workspace it's in (the coordinator in every workspace). Each is split into `bot_sessions` (`user_id`, `bot_id`, `workspace_id` null for its own chat, `status` active|closed, `title` from the first user message, `summary`, `previous_session_id`, `unread`, `last_activity_at`); `bot_messages`, `bot_tasks` and `bots_queue` carry `session_id` and `workspace_id`. Helpers in `src/functions/backend/db/bot-sessions/`: `ensureBotSession` (the active one, else a new one; `rollover` starts the next once it has `AppData.BotSessionMaxMessages`), `startBotSession`, `reopenBotSession`, `grabBotSessions` (search over title, summary and message text), `grabUserConversation` (access and membership), `grabConversationProps` (the conversation pages' props). A new session's first reply gets the previous one's summary (`grab-session-carry-over.ts`, written once with the text harness). The header's sessions icon (`src/components/general/bot-sessions-modal.tsx`) lists, searches, starts and reopens sessions, and the new-session icon beside it (`(partials)/new-session-button.tsx`) starts one (`api/admin/bots/list-sessions`, `new-session`, `reopen-session`). The rail lists the open bot's latest `AppData.RailRecentSessions` sessions under its row (`rail-bot-sessions.tsx`), and once there are more, "All sessions" opens the same modal. Unread, the rail's last message and activity are per thread, from its sessions. Job results go into the job's own session, even after it closes.
 - **Coordinator:** the install has exactly one `kind: coordinator` bot, the super admin's alone, that coordinates the crew and delegates to every worker. It is created at signup (`bun run seed`) and, as a fallback, by the super admin's `/admin/bots`, all via `ensureCoordinatorBot` (`src/functions/backend/db/bots/ensure-coordinator-bot.ts`, idempotent). Name in `CoordinatorBotName` (`src/dict/bot-dict.ts`). Its default prompt is `CoordinatorSystemPrompt` (`src/data/coordinator-system-prompt.ts`): attached at creation, and backfilled onto a coordinator whose prompt is empty, never over an edited one.
 - **Routes:** `/admin/bots` ensures the coordinator and redirects the super admin to its chat (`/admin/bots/1` on a fresh install), anyone else to their latest bot, else their first workspace, else an empty page; `/admin/bots/[bot_id]` renders the conversation (header, thread and composer, the last two held to 760px; there is no right panel); `/admin/bots/[bot_id]/models` is a worker bot's own model settings, for super admins and admins (the coordinator's redirects to its chat); `/admin/workspaces/[workspace_id]` is a workspace's dashboard (`(sections)/workspace-dashboard.tsx`: read-only picture, name, description and context, latest activity, bots with their per-workspace instructions and memory, computers; its header links into `/admin/settings/workspaces/[workspace_id]`, whose `workspace-overview.tsx` has the editable groups) and `/admin/workspaces/[workspace_id]/bots/[bot_id]` is the same `Conversation` section scoped to the workspace (`pageProps.workspace`; only the coordinator and member bots). All render in the full-bleed `src/layouts/bots/` layout (rail of conversations + user popover), which `__root.tsx` uses for every `/admin/*` page.
 - **Server:** `src/functions/backend/db/bots/` (`grab-bots`, `grab-bot-messages`, `grab-active-bot-task`, `grab-user-bot`, `create-bot`, `insert-user-message`). `api/admin/bots/send-message.ts` posts a user message to a bot the session user chats with (zod: `src/schemas/bot-schema.ts`), queues the bot's reply (`enqueueBotReply`) and wakes the queue (`src/bots-queue/wake-bots-queue.ts`; never import `src/bots-queue/index.ts` from a page or API route, it pulls the bunext runtime into the page bundles). `upload-attachment.ts` stores one file for the next message (private `media` row, paradigm `bot-attachment`, type from `attachmentFileKind`, documents get `text_content`, limits in `AppData.BotAttachment*`) and `send-message` takes their `media_ids` (checked to be the user's own by `grabAttachableMedia`), linked in `bot_message_media`; messages carry `attachments` (`BotMessageWithAttachments`). `mark-read.ts` clears a session's unread when a message arrives in the open conversation; `session-messages.ts` returns a session's latest messages, which the open conversation polls every `AppData.BotReplyCatchUpMs` while a reply is due (`use-reply-catch-up`), so a reply whose live push was missed (socket down) still lands without a reload (replayed as a `server:bot-message`, so the rail and unread take it too); `create-bot.ts` adds a worker (and puts it in a workspace when given one); `save-harness-settings.ts` saves a worker bot's models.