fix: address presentation review findings

web/apps/console/src/demo/agent/timelineAgent.test.tsx

@@ -128,6 +128,34 @@ describe("useTimelineAgent", () => {
     expect(start).toHaveBeenCalledWith("live");
   });
 
+  it("does not advertise live launch when the timeline cannot start", () => {
+    const demo = demoController({ canStart: false });
+    const { result } = renderHook(() => useTimelineAgent(demo, {
+      mode: "live",
+      status: readyStatus,
+    }));
+
+    expect(result.current.canRunLive).toBe(false);
+  });
+
+  it("uses target health for an explicit live launch regardless of selected mode", async () => {
+    const start = vi.fn();
+    const demo = demoController({
+      state: { ...initialDemoTimelineState, mode: "replay" },
+      start,
+    });
+
+    const { result } = renderHook(() => useTimelineAgent(demo, {
+      mode: "replay",
+      status: readyStatus,
+    }));
+
+    expect(result.current.canRunLive).toBe(true);
+    await act(async () => result.current.runPreparedWorkflow("live"));
+
+    expect(start).toHaveBeenCalledWith("live");
+  });
+
   it("does not offer an explicit live launch when health has failed", () => {
     const start = vi.fn();
     const demo = demoController({ start });

web/apps/console/src/demo/agent/timelineAgent.ts

@@ -91,9 +91,15 @@ export const useTimelineAgent = (
 
   const runLabel = modeLabel === "live" ? "Run prepared workflow" : "Run replay walkthrough";
   const canRun = demo.canStart && !demo.inFlight && demo.state.phase !== "running";
-  const canRunLive = (options.liveTargetReady ?? (options.mode === "live" && (
+  // Live capability is about the target and timeline, not the selected display
+  // mode; callers can request a live run from a replay-backed slide explicitly.
+  const liveTargetReady = options.liveTargetReady ?? (
     options.status.kind === "ready" || options.status.kind === "active"
-  ))) && !demo.inFlight && demo.state.phase !== "running";
+  );
+  const canRunLive = liveTargetReady
+    && demo.canStart
+    && !demo.inFlight
+    && demo.state.phase !== "running";
 
   const runPreparedWorkflow = useCallback(async (requestedMode?: TimelineAgentMode) => {
     const mode = requestedMode ?? modeLabel;