chore: integrate main updates into workspace document preview

docs/en/desktop/sessions.md

@@ -13,7 +13,9 @@ A session is one complete collaboration: you describe what you want, Claude read
 
 Click **New session** in the sidebar, or press `⌘N` (`Ctrl+N` on Windows and Linux). The empty session asks you for exactly one thing: a project directory. After that you can start typing — the model and permission mode come from your defaults in Settings.
 
-Each session opens as a tab, and you can run many side by side. A dot on the tab means that session is still running; closing a running tab asks whether you want to **Keep running** or **Stop and close**.
+Each session opens as a tab, and you can run many side by side. A dot on the tab means that session is still running; closing a running tab asks whether you want to **Keep running** or **Stop and close**, and **Stop and close** also stops the background tasks that session still has running.
+
+When a session is stopped on a permission request, a question or a plan review and needs you, the dot on its tab becomes an amber warning triangle, and so does its row in the sidebar. It stays until you have dealt with it, whether or not system notifications are on. When so many tabs are open that some scroll out of view, the scroll arrow on that side gets an amber dot, and the number button on the right of the tab bar shows how many other sessions are waiting; press it to jump to the next one. On a phone there is no tab bar: a dot on the menu button means another session is waiting, and its row in the sidebar carries the triangle.
 
 The small line under the session title is metadata: project path, branch, model. A session is bound to one directory — to work on a different project, start a new session.
 
@@ -84,7 +86,7 @@ The first button on the right of the tab bar opens the Activity panel, which lis
 
 - **Tasks** — the to-do list Claude maintains for itself, with "Task progress 3/7" at the top.
 - **SubAgents** — the agents it delegated to. Open one to read its full transcript.
-- **Background tasks** — commands and workflows running in the background; each can be stopped individually.
+- **Background tasks** — commands and workflows running in the background; each can be stopped individually. When one finishes, Claude is notified and carries on, and its reply appears in the conversation as usual.
 - **Team** — when an Agent Team is in play, one row per member, and you can message a member directly.
 
 Tool activity from background subagents bubbles up here too, so you don't have to wait for one to finish to see what it's doing.