feat: add chat read/unread indicator to sidebar (#23129)

## Summary

Adds read/unread tracking for chats so users can see which agent
conversations have new assistant messages they haven't viewed.

## Backend Changes

- Adds `last_read_message_id` column to the `chats` table (migration
000439).
- Computes `has_unread` as a virtual column in `GetChatsByOwnerID` using
an `EXISTS` subquery checking for assistant messages beyond the read
cursor.
- Exposes `has_unread` on the `codersdk.Chat` struct and auto-generated
TypeScript types.
- Updates `last_read_message_id` on stream connect/disconnect in
`streamChat`, avoiding per-message API calls during active streaming.
- Uses `context.WithoutCancel` for the deferred disconnect write so the
DB update succeeds even after the client disconnects.

## Frontend Changes

- Bold title (`font-semibold`) for unread chats in the sidebar.
- Small blue dot indicator next to the relative timestamp.
- Suppresses unread indicator for the currently active chat via
`isActive` from NavLink.

## Design Decisions

- Only `assistant` messages count as unread — the user's own messages
don't trigger the indicator.
- No foreign key on `last_read_message_id` since messages can be deleted
(via rollback/truncation) and the column is just a high-water mark.
- Zero API calls during streaming: exactly 2 DB writes per stream
session (connect + disconnect).
- Unread state refreshes on chat list load and window focus. The
`watchChats` WebSocket optimistically marks non-active chats as unread
on `status_change` events, but does not carry a server-computed
`has_unread` field. Navigating to a chat optimistically clears its
unread indicator in the cache.

coderd/database/queries/chats.sql

@@ -313,7 +313,14 @@ ORDER BY
 
 -- name: GetChats :many
 SELECT
-    *
+    sqlc.embed(chats),
+    EXISTS (
+        SELECT 1 FROM chat_messages cm
+        WHERE cm.chat_id = chats.id
+            AND cm.role = 'assistant'
+            AND cm.deleted = false
+            AND cm.id > COALESCE(chats.last_read_message_id, 0)
+    ) AS has_unread
 FROM
     chats
 WHERE
@@ -1132,3 +1139,10 @@ LEFT JOIN LATERAL (
 ) gl ON TRUE
 WHERE u.id = @user_id::uuid
 LIMIT 1;
+
+-- name: UpdateChatLastReadMessageID :exec
+-- Updates the last read message ID for a chat. This is used to track
+-- which messages the owner has seen, enabling unread indicators.
+UPDATE chats
+SET last_read_message_id = @last_read_message_id::bigint
+WHERE id = @id::uuid;