feat(run): show externally started Claude sessions in the active-runs list

The Workspace active-runs list only knew about runs this dashboard spawned,
so two `claude` sessions started by hand in terminal tabs showed up nowhere —
the list read "no active runs" while two agents were working.

Poll GET /api/sessions?status=active alongside the run list and merge those
sessions in as live rows, deduped against dashboard runs by session_id and
filtered to local sources with a cwd (a remote-source or cwd-less session
cannot be resumed on this machine).

External rows get no Attach action: the dashboard owns no tmux session for
them, so there is no PTY to bridge. They offer Resume, which reuses the
existing ensure-lane + start-with-resumeSessionId path to spawn a new
tmux-backed `claude --resume` in that folder — a second process on the same
transcript, not a view of the original terminal.

client/src/pages/Workspace.tsx

@@ -5,6 +5,8 @@
  * the selected lane's pipeline map, and run configuration/console/history below.
  * Runs are tied to lanes: starting a run posts to POST /api/lanes/:id/start.
  * When a cwd isn't owned by any lane, calls POST /api/lanes/ensure first.
+ * Polls GET /api/sessions?status=active alongside the run list so Claude Code
+ * sessions started outside the dashboard also appear in the active-runs list.
  *
  * @author Nguyễn Ngọc Trí Vĩ <vinnt@smartgift.vn>
  */
@@ -42,7 +44,7 @@ import { useTranslation } from "react-i18next";
 import { Plus } from "lucide-react";
 import { api } from "../lib/api";
 import type { CwdSuggestion, RunListResponse } from "../lib/api";
-import type { Lane, LaneFeature, LaneCounts, ProofFeature, WSMessage } from "../lib/types";
+import type { Lane, LaneFeature, LaneCounts, ProofFeature, Session, WSMessage } from "../lib/types";
 import { eventBus } from "../lib/eventBus";
 import { LaneConsolePane } from "../components/run/LaneConsolePane";
 import PipelineMap from "../components/lanes/PipelineMap";
@@ -93,6 +95,7 @@ function ConsoleArea({
   binaryStatus,
   cwdSuggestions,
   activeRuns,
+  externalSessions,
   wsConnected,
   defaultCwd,
   onHasActiveRunChange,
@@ -108,6 +111,7 @@ function ConsoleArea({
   binaryStatus: { found: boolean; path: string | null } | null;
   cwdSuggestions: CwdSuggestion[];
   activeRuns: RunListResponse | null;
+  externalSessions: Session[];
   wsConnected: boolean;
   defaultCwd: string;
   onHasActiveRunChange: (val: boolean) => void;
@@ -128,6 +132,7 @@ function ConsoleArea({
           binaryStatus={binaryStatus}
           cwdSuggestions={cwdSuggestions}
           activeRuns={activeRuns}
+          externalSessions={externalSessions}
           wsConnected={wsConnected}
           defaultCwd={defaultCwd}
           onHasActiveRunChange={onHasActiveRunChange}
@@ -149,6 +154,7 @@ function ConsoleArea({
               binaryStatus={binaryStatus}
               cwdSuggestions={cwdSuggestions}
               activeRuns={activeRuns}
+              externalSessions={externalSessions}
               wsConnected={wsConnected}
               defaultCwd={defaultCwd}
             />
@@ -180,6 +186,10 @@ export function Workspace() {
   // Run state kept at page level: shared across every pane, or drives the
   // lane strip itself rather than any one pane's form.
   const [activeRuns, setActiveRuns] = useState<RunListResponse | null>(null);
+  // Claude Code sessions running outside the dashboard (a `claude` the user
+  // started in a terminal tab). They are not dashboard runs, so the run list
+  // would otherwise show nothing while two agents are working.
+  const [externalSessions, setExternalSessions] = useState<Session[]>([]);
   const [binaryStatus, setBinaryStatus] = useState<{ found: boolean; path: string | null } | null>(
     null
   );
@@ -236,10 +246,6 @@ export function Workspace() {
       // `claude` is missing from PATH — leave the probe unresolved rather than
       // showing a misleading "claude missing" banner for an unrelated fault.
       .catch(() => undefined);
-    api.run
-      .list()
-      .then(setActiveRuns)
-      .catch(() => undefined);
     api.lanes
       .pipelines()
       .then((r) => setPipelineTemplates(r.pipelines))
@@ -320,6 +326,10 @@ export function Workspace() {
       .list()
       .then(setActiveRuns)
       .catch(() => undefined);
+    api.sessions
+      .list({ status: "active", limit: 50, sort_by: "updated_at", sort_desc: true })
+      .then((r) => setExternalSessions(r.sessions))
+      .catch(() => undefined);
   }, []);
 
   // Background poll so the run list and history reflect external changes
@@ -327,6 +337,7 @@ export function Workspace() {
   // no WS event fires. Lighter than typical WS gaps; aggressive enough that
   // status flips appear within seconds without needing a manual refresh.
   useEffect(() => {
+    refreshList();
     const tick = setInterval(() => {
       refreshList();
     }, 5000);
@@ -706,6 +717,7 @@ export function Workspace() {
                 binaryStatus={binaryStatus}
                 cwdSuggestions={cwdSuggestions}
                 activeRuns={activeRuns}
+                externalSessions={externalSessions}
                 wsConnected={wsConnected}
                 defaultCwd={defaultCwd}
                 onHasActiveRunChange={setPaneHasActiveRun}
@@ -730,6 +742,7 @@ export function Workspace() {
               binaryStatus={binaryStatus}
               cwdSuggestions={cwdSuggestions}
               activeRuns={activeRuns}
+              externalSessions={externalSessions}
               wsConnected={wsConnected}
               defaultCwd={defaultCwd}
               onHasActiveRunChange={setPaneHasActiveRun}