fix(rectification): open cases for uncertain birth times

frontend/src/lib/rectification-agentic/v9/case-service.ts

@@ -108,16 +108,45 @@ function shiftedTime(time: string, offsetMinutes: number): string {
   return `${String(Math.floor(normalized / 60)).padStart(2, "0")}:${String(normalized % 60).padStart(2, "0")}`;
 }
 
-// This is an engine execution boundary, not a user-declared uncertainty. Fresh
-// Cases always start from reported_birth_time with enough room to rectify.
+// This is an engine execution boundary, not a user-declared uncertainty.
+// Exact-time Cases receive a movable search radius; imprecise declarations keep
+// the honest server-owned range instead of inventing a baseline minute.
 const FRESH_CASE_SEARCH_RADIUS_MINUTES = 15;
+const PERIOD_CANDIDATE_RANGES = {
+  early_morning: { start_time: "04:00", end_time: "07:59" },
+  morning: { start_time: "08:00", end_time: "11:59" },
+  afternoon: { start_time: "12:00", end_time: "17:59" },
+  evening: { start_time: "18:00", end_time: "22:59" },
+  late_night: { start_time: "23:00", end_time: "03:59" },
+} as const;
 
-function deriveCandidateRange(reportedTime: string | null): { start_time: string; end_time: string } {
-  if (!reportedTime) throw new RectificationCaseServiceError("profile_incomplete");
-  return {
-    start_time: shiftedTime(reportedTime, -FRESH_CASE_SEARCH_RADIUS_MINUTES),
-    end_time: shiftedTime(reportedTime, FRESH_CASE_SEARCH_RADIUS_MINUTES),
-  };
+function deriveCandidateRange(input: {
+  reportedTime: string | null;
+  source: string;
+  period: string | null;
+}): { start_time: string; end_time: string } {
+  if (input.reportedTime) {
+    return {
+      start_time: shiftedTime(input.reportedTime, -FRESH_CASE_SEARCH_RADIUS_MINUTES),
+      end_time: shiftedTime(input.reportedTime, FRESH_CASE_SEARCH_RADIUS_MINUTES),
+    };
+  }
+
+  if (input.source === "period_only" || input.source === "legacy_import") {
+    const periodRange = input.period && Object.hasOwn(PERIOD_CANDIDATE_RANGES, input.period)
+      ? PERIOD_CANDIDATE_RANGES[input.period as keyof typeof PERIOD_CANDIDATE_RANGES]
+      : null;
+    if (periodRange) return periodRange;
+    if (input.source === "period_only") {
+      throw new RectificationCaseServiceError("profile_incomplete");
+    }
+  }
+
+  if (input.source === "unknown" || input.source === "legacy_import") {
+    return { start_time: "00:00", end_time: "23:59" };
+  }
+
+  throw new RectificationCaseServiceError("profile_incomplete");
 }
 
 function baselineFingerprint(baseline: V9BaselineSnapshot): string {
@@ -187,7 +216,7 @@ export async function loadV9RectificationProfile(
     userId,
     baseline,
     baselineFingerprint: baselineFingerprint(baseline),
-    candidateRange: deriveCandidateRange(reportedTime),
+    candidateRange: deriveCandidateRange({ reportedTime, source, period }),
   };
 }