fix(rectification): keep candidate state coherent

frontend/tests/rectification-pr4-database.test.ts

@@ -122,6 +122,7 @@ test("PR-4 candidate decisions use server UUIDs, receipt-derived gates and separ
       birth_date: "1997-08-08",
       latitude: 36.420487,
       longitude: 114.209936,
+      timezone_id: "Asia/Shanghai",
       timezone_offset: 8,
       birth_time_source: "family_exact",
       reported_birth_time: "05:00",
@@ -193,6 +194,26 @@ test("PR-4 candidate decisions use server UUIDs, receipt-derived gates and separ
       },
       { rank: 2, time: "05:08", relative_support: 40, tied_minute_count: 1 },
     ];
+    const inferenceState = {
+      algorithm_version: "rectification-pr4-fixture-v1",
+      candidate_set_id: "04:50-05:10:05:07,05:08",
+      revision: 0,
+      phase: "candidate_ready",
+      result_status: "completed_with_range",
+      range_start: "04:50",
+      range_end: "05:10",
+      candidates: [
+        { id: "05:07", time: "05:07", cluster_range: ["05:07", "05:07"], prior_score: 60, posterior_score: 60, probability: 0.6, status: "active", rank: 1, strong_conflict_count: 0 },
+        { id: "05:08", time: "05:08", cluster_range: ["05:08", "05:08"], prior_score: 40, posterior_score: 40, probability: 0.4, status: "active", rank: 2, strong_conflict_count: 0 },
+      ],
+      events: [],
+      probes: [],
+      answered_probes: [],
+      rounds: [],
+      entropy: 1,
+      representative_time: "05:07",
+      credible_range: ["05:07", "05:08"],
+    };
     const decisionReceipt = {
       display_allowed: true,
       accept_allowed: true,
@@ -201,6 +222,7 @@ test("PR-4 candidate decisions use server UUIDs, receipt-derived gates and separ
       overall_confidence: "high",
       margin_percent: 20,
       representative_candidate_id: fakeCallerCandidateId,
+      inference_state: inferenceState,
     };
     const executionLedger = [
       { phase: "candidate.score", status: "completed", engine: "fixture-engine" },