fix(birth-sky): print the city for stored 「中国 · 省 · 市」 labels (BUG-1082)

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01N4f2nya58RoRu4yEmJgRGE

frontend/src/lib/birth-sky/caption.ts

@@ -26,6 +26,7 @@ const HAN = /[㐀-鿿]/;
 /**
  * City from a stored birth place label. Rules, most specific first:
  *
+ * 0. A leading 「中国」 segment (how stored labels start) is dropped first.
  * 1. Municipalities and SARs (`北京市 · 朝阳区`, `香港特别行政区`) → `北京`, `香港`.
  * 2. Chinese labels `省 · 市 · 区` → the second segment when it ends in 「市」,
  *    without the 「市」 (`河北省 · 邯郸市 · 峰峰矿区` → `邯郸`). Prefectures that are
@@ -36,7 +37,9 @@ const HAN = /[㐀-鿿]/;
  */
 export function birthSkyCity(label: string | null | undefined): string | null {
   if (typeof label !== "string") return null;
-  const segments = label.split(SEPARATOR).map((segment) => segment.trim()).filter(Boolean);
+  const all = label.split(SEPARATOR).map((segment) => segment.trim()).filter(Boolean);
+  // Stored China labels lead with 「中国 · 」 (geoapify-location-service); the rules below start at the province (BUG-1082).
+  const segments = all[0] === "中国" ? all.slice(1) : all;
   if (segments.length === 0) return null;
   const [first, second, third] = segments;
   if (CITY_PROVINCES[first]) return CITY_PROVINCES[first];