diff --git a/scripts/smoke_frame_render.py b/scripts/smoke_frame_render.py
index 18dabb1..49de708 100644
--- a/scripts/smoke_frame_render.py
+++ b/scripts/smoke_frame_render.py
@@ -284,7 +284,7 @@ def render_to_dir(template_id: str, slot_payload: dict, out_dir: Path) -> tuple[
     viewer = f"""<!DOCTYPE html>
 <html lang="ko"><head>
 <meta charset="UTF-8">
-<title>F14 render artifact — {template_id}</title>
+<title>Phase Z render artifact — {template_id}</title>
 <style>
   body {{ margin: 0; padding: 20px; background: #e8ecf0;
           font-family: 'Noto Sans KR', sans-serif; word-break: keep-all; }}
diff --git a/templates/phase_z2/catalog/frame_contracts.yaml b/templates/phase_z2/catalog/frame_contracts.yaml
index 9335c00..eeca9e8 100644
--- a/templates/phase_z2/catalog/frame_contracts.yaml
+++ b/templates/phase_z2/catalog/frame_contracts.yaml
@@ -302,7 +302,7 @@ construction_goals_three_circle_intersection:
     - id: intersection
       role: emphasis
       accepts: [text_block]
-      cardinality: { strict: 1 }
+      cardinality: { min: 0, max: 1 }       # OPTIONAL — analysis.md "slots 5개, required 4개" 정합 (Codex F1-a 정정)
       partial_target_path: ".f12b__intersection"
 
   payload:
