fix(rectification): offer representative time once event-fit is enough

Keep unique-top and width on confirmation only, and stop lagna-frame follow-ups from blocking cards on an already-scored cluster.

Co-authored-by: Cursor <cursoragent@cursor.com>

tests/test_rectification_confirmation_and.py

@@ -264,3 +264,40 @@ def test_indistinguishable_width_matches_public_span() -> None:
         {"time": "04:47", "rank": 3, "tied_minute_count": 25},
     ])
     assert width >= 25
+
+
+def test_fourteen_minute_tied_cluster_proposes_but_does_not_confirm() -> None:
+    extra = [{
+        "id": "00000000-0000-4000-8000-000000000004",
+        "domain": "family",
+        "summary": "家人变化",
+        "event_kind": "family_event",
+        "precision": "day",
+        "date_start": "2020-01-01",
+        "date_end": "2020-01-01",
+    }]
+    rows = [
+        {
+            "time": f"{15 + ((50 + offset) // 60):02d}:{(50 + offset) % 60:02d}",
+            "score": 20,
+            "evidence": [],
+            "missing_layers": [],
+        }
+        for offset in range(14)
+    ]
+    decisions = build_candidate_decisions(rows, result_id="00000000-0000-4000-8000-000000000099")
+    receipt = build_decision_receipt(
+        _request(extra_events=extra),
+        decisions,
+        {"missing_layers": ["KP_cusps"], "matrix": {}},
+        _diagnostics(),
+    )
+    exact = receipt["gates"]["exact_confirmation"]
+    assert receipt["selection_allowed"] is True
+    assert receipt["propose_allowed"] is True
+    assert receipt["gates"]["unique_top"]["passed"] is False
+    assert exact["indistinguishable_width_minutes"] >= 14
+    assert exact["adjacent_passed"] is False
+    assert exact["engine_granted"] is False
+    assert receipt["confirmation_allowed"] is False
+    assert "adjacent_minutes_indistinguishable" in receipt["confirmation_reasons"]