feat(web): wire up MCP task support — Tasks screen, Run-as-task, status toasts (#1422) (#1424)

Wires the ported Tasks screen + core task subsystem through App.tsx: sticky Clear Completed, cancel/refresh error toasts, core-side per-task progress correlation, Run-as-task on the Tools screen (gated on server support), per-server Task TTL, and live task-status toasts.

core/mcp/inspectorClientEventTarget.ts

@@ -114,6 +114,13 @@ export interface InspectorClientEventMap {
     error?: McpError;
   };
   taskCancelled: { taskId: string };
+  /**
+   * Fired from callToolStream when a progress notification arrives for a
+   * task-augmented tool call, tagged with the taskId callToolStream owns so
+   * consumers can correlate progress → task (the generic progressNotification
+   * event carries only the caller's progressToken, not the taskId).
+   */
+  requestorTaskProgress: { taskId: string; progress: Progress };
   tasksChange: Task[];
   // Signal events (no payload)
   connect: void;