fix(rectification): resolve missing birth timezone offsets

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

@@ -8,6 +8,7 @@
  */
 import { createHash } from "node:crypto";
 import type { SupabaseClient } from "@supabase/supabase-js";
+import { resolveMissingBirthTimezoneOffset } from "../../birth-profile-timezone.ts";
 import { normalizePersistedBirthDate } from "../../birth-time-intake-model.ts";
 import {
   resolveActiveSkillPackage,
@@ -180,7 +181,13 @@ export async function loadV9RectificationProfile(
     .single();
   if (error || !data) throw new RectificationCaseServiceError("profile_unavailable");
 
-  const row = data as Record<string, unknown>;
+  let resolvedData: unknown;
+  try {
+    resolvedData = await resolveMissingBirthTimezoneOffset(data);
+  } catch {
+    throw new RectificationCaseServiceError("profile_unavailable");
+  }
+  const row = resolvedData as Record<string, unknown>;
   const birthDate = normalizePersistedBirthDate(row.birth_date);
   const latitude = numberOrNull(row.latitude);
   const longitude = numberOrNull(row.longitude);