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"]

tests/test_rectification_refinement_packet.py

@@ -5,6 +5,7 @@ import unittest
 from scripts.rectification.decision_policy import build_candidate_decisions, build_decision_receipt
 from scripts.rectification.refinement_packet import (
     build_refinement_packet,
+    cluster_scan,
     dasha_agreement,
     match_level,
     precision_stage,
@@ -145,6 +146,32 @@ class RefinementPacketTest(unittest.TestCase):
         self.assertEqual(ready["current"], "ready_to_adopt")
         self.assertFalse(ready["unique_minute_claim"])
 
+    def test_precision_stage_uses_candidate_cluster_not_full_declared_range(self):
+        built = {
+            "static_contexts": [
+                feature("12:00", d1=3, d9=1, d10=4),
+                feature("13:37", d1=4, d9=1, d10=4),
+                feature("15:50", d1=4, d9=1, d10=4),
+                feature("15:51", d1=4, d9=1, d10=4),
+                feature("16:03", d1=5, d9=1, d10=4),
+            ]
+        }
+        scan = window_scan(built)
+        self.assertEqual(scan["d1_lagna_count"], 3)
+        self.assertTrue(scan["d1_candidates_differ"])
+        cluster = cluster_scan(built, ["15:50", "15:51"], "15:50", 14)
+        self.assertEqual(cluster["d1_lagna_count"], 1)
+        self.assertFalse(cluster["d1_candidates_differ"])
+        packet = build_refinement_packet(
+            request_events(),
+            built,
+            representative_time="15:50",
+            candidate_times=["15:50", "15:51"],
+            cluster_width_minutes=14,
+        )
+        self.assertEqual(packet["window_scan"]["d1_lagna_count"], 3)
+        self.assertNotEqual(packet["precision_stage"]["current"], "lagna_frame")
+
     def test_window_scan_reports_d24_and_fine_minute_changes_without_unique_claim(self):
         scan = window_scan({
             "static_contexts": [