feat: tie demo graph to run proof

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

@@ -78,7 +78,7 @@ describe("DemoWorkflowScene", () => {
     renderBeat("graph");
 
     expect(screen.getByLabelText("workflow.runs.start execution receipt")).toBeInTheDocument();
-    expect(screen.getByText("run_recorded_lda_report")).toBeInTheDocument();
+    expect(screen.getAllByText("run_recorded_lda_report").length).toBeGreaterThanOrEqual(1);
     expect(screen.getByLabelText("workflow graph")).toBeInTheDocument();
   });
 
@@ -132,6 +132,16 @@ describe("DemoWorkflowScene", () => {
     expect(screen.getByLabelText("workflow.runs.trace operation")).toBeInTheDocument();
   });
 
+  it("passes run proof into graph-heavy beats", () => {
+    const { unmount } = renderBeat("graph");
+    expect(screen.getByLabelText("workflow graph proof")).toHaveTextContent("run_recorded_lda_report");
+    expect(screen.getByLabelText("workflow graph proof")).toHaveTextContent("5 workflow nodes");
+    unmount();
+
+    renderBeat("approval", "interrupt-evidence");
+    expect(screen.getByLabelText("workflow graph proof")).toHaveTextContent("JSON-RPC evidence");
+  });
+
   it("shows the continuity rail across Scene 9 operation, graph, and interrupt beats", () => {
     const { unmount } = renderBeat("operation");
     expect(screen.getByLabelText("demo continuity")).toHaveTextContent("workflow.runs.start");

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

@@ -60,6 +60,14 @@ export const DemoWorkflowScene = ({
   const execution = graphExecutionForBeat(beat.id);
   const layout = layoutForBeat(beat.id);
 
+  // Presentation-only proof labels keep the graph tied to the recorded run
+  // without changing the canonical replay event payload.
+  const runProof = {
+    runId: runStart?.resultingIds.runId ?? null,
+    traceLabel: "5 workflow nodes",
+    evidenceLabel: "JSON-RPC evidence",
+  };
+
   const lens = demoBeatLensForBeat(beat.id);
   const currentOperation = currentEvent ? projectOperationPresentation(currentEvent) : null;
   const showOutcomePanel = beat.id === "approval" || beat.id === "resume" || beat.id === "output" || beat.id === "trace";
@@ -104,6 +112,7 @@ export const DemoWorkflowScene = ({
                 execution={execution}
                 selectedNodeId={selectedNodeId}
                 selectNode={selectNode}
+                proof={runProof}
               />
               {contractMode && contract && (
                 <InterruptContractPreview