fix(web): 四个页面共用一份会话列表，空会话不入列

对话、星盘、星历、报告进同一 (app) 外壳，列表只拉一次。服务端不再列出空咨询；新建复用已有空会话。新标题改成「生时校正 · M月D日」，侧栏副标题用创建时间。

tests/test_supabase_user_data_contract.py

@@ -37,7 +37,7 @@ SYNASTRY_REPORT_MIGRATION = (
     / "migrations"
     / "20260718101000_repair_missing_synastry_reports.sql"
 )
-PAGE = Path(__file__).resolve().parents[1] / "frontend" / "src" / "app" / "page.tsx"
+PAGE = Path(__file__).resolve().parents[1] / "frontend" / "src" / "app" / "(app)" / "page.tsx"
 _FRONTEND_SRC = Path(__file__).resolve().parents[1] / "frontend" / "src"
 HOME_SURFACE_FILES = (
     PAGE,
@@ -61,6 +61,10 @@ OPTIONAL_HOME_HOOKS = (
     # 些文件的并集，新 hook 不进这张白名单，下面的合盘断言就会在代码完全正确
     # 的情况下变红。新增 Home 级 hook 时必须同步加进来。
     _FRONTEND_SRC / "hooks" / "use-synastry.ts",
+    _FRONTEND_SRC / "hooks" / "use-session-list.ts",
+    _FRONTEND_SRC / "hooks" / "use-home-shell-registration.ts",
+    _FRONTEND_SRC / "lib" / "session-list-context.tsx",
+    _FRONTEND_SRC / "lib" / "session-list-filter.ts",
 )