feat(web): show latest orchestrator event in task progress widget

apps/web/src/components/widgets/__tests__/TaskProgressWidget.test.tsx

@@ -242,4 +242,58 @@ describe("TaskProgressWidget", (): void => {
       expect(taskElements[1]?.textContent).toBe("COMPLETED-TASK");
     });
   });
+
+  it("should display latest orchestrator event when available", async (): Promise<void> => {
+    mockFetch.mockImplementation((input: RequestInfo | URL) => {
+      let url = "";
+      if (typeof input === "string") {
+        url = input;
+      } else if (input instanceof URL) {
+        url = input.toString();
+      } else {
+        url = input.url;
+      }
+      if (url.includes("/api/orchestrator/agents")) {
+        return Promise.resolve({
+          ok: true,
+          json: () => Promise.resolve([]),
+        } as unknown as Response);
+      }
+      if (url.includes("/api/orchestrator/queue/stats")) {
+        return Promise.resolve({
+          ok: true,
+          json: () =>
+            Promise.resolve({
+              pending: 0,
+              active: 0,
+              completed: 0,
+              failed: 0,
+              delayed: 0,
+            }),
+        } as unknown as Response);
+      }
+      if (url.includes("/api/orchestrator/events/recent")) {
+        return Promise.resolve({
+          ok: true,
+          json: () =>
+            Promise.resolve({
+              events: [
+                {
+                  type: "task.executing",
+                  timestamp: new Date().toISOString(),
+                  taskId: "TASK-123",
+                },
+              ],
+            }),
+        } as unknown as Response);
+      }
+      return Promise.reject(new Error("Unknown endpoint"));
+    });
+
+    render(<TaskProgressWidget id="task-progress-1" />);
+
+    await waitFor(() => {
+      expect(screen.getByText(/Latest: task.executing · TASK-123/i)).toBeInTheDocument();
+    });
+  });
 });