feat: support explicit live demo launch

web/apps/console/src/presentation/OperatorChat.test.tsx

@@ -191,6 +191,7 @@ describe("OperatorChat", () => {
         timelineAgent={{
           messages: [],
           canRun: true,
+          canRunLive: true,
           runLabel: "Run prepared workflow",
           runPreparedWorkflow,
           submitSelectedIssues: vi.fn(async () => {}),
@@ -236,6 +237,7 @@ describe("OperatorChat", () => {
         timelineAgent={{
           messages: [],
           canRun: false,
+          canRunLive: false,
           runLabel: "Run prepared workflow",
           runPreparedWorkflow: vi.fn(async () => {}),
           submitSelectedIssues,

web/apps/console/src/presentation/PresentationRoute.tsx

@@ -59,6 +59,7 @@ export const PresentationRoute = () => {
   const timelineAgent = useTimelineAgent(demo, {
     mode: presentationTarget.mode === "live" ? "live" : "replay",
     status: targetStatus,
+    liveTargetReady: targetStatusController.liveTargetReady,
   });
   const requiredDemoStage = state.location.kind === "main"
     ? requirementForDemoBeat(state.location.sceneId, state.location.beatId).requiredStage