refactor(chat): extract profile onboarding and rectification surface hooks

Close the home-page split by moving account/onboarding and rectification glue out of page.tsx without relocating React state, keeping the route static and hook order intact.

Co-authored-by: Cursor <cursoragent@cursor.com>

tests/test_daily_and_rectification_entrypoints.py

@@ -4,12 +4,20 @@ from pathlib import Path
 PAGE = Path("frontend/src/app/page.tsx")
 STARTER_HOME = Path("frontend/src/components/starter-home.tsx")
 HOME_CLOUD = Path("frontend/src/lib/home-cloud-sync.ts")
+RECTIFICATION_HOOK = Path("frontend/src/hooks/use-rectification-surface.ts")
 DAILY_ROUTE = Path("frontend/src/app/api/daily-starlanguage/route.ts")
 RECTIFICATION_ROUTE = Path("frontend/src/app/api/birth-rectification/route.ts")
 
 
+def _home_entrypoint_surface() -> str:
+    parts = [PAGE, STARTER_HOME, HOME_CLOUD]
+    if RECTIFICATION_HOOK.exists():
+        parts.append(RECTIFICATION_HOOK)
+    return "".join(path.read_text(encoding="utf-8") for path in parts)
+
+
 def test_daily_starlanguage_entrypoint_is_productized() -> None:
-    source = PAGE.read_text(encoding="utf-8") + STARTER_HOME.read_text(encoding="utf-8") + HOME_CLOUD.read_text(encoding="utf-8")
+    source = _home_entrypoint_surface()
     assert "今日星语" in source
     assert "fetchDailyStarlanguage" in source
     assert "daily-starlanguage-card" in source
@@ -32,7 +40,7 @@ def test_daily_starlanguage_api_declares_honest_source_boundary() -> None:
 
 
 def test_birth_time_rectification_entrypoint_is_productized() -> None:
-    source = PAGE.read_text(encoding="utf-8") + STARTER_HOME.read_text(encoding="utf-8") + HOME_CLOUD.read_text(encoding="utf-8")
+    source = _home_entrypoint_surface()
     assert "生时校正" in source
     assert "birth-rectification-card" in source
     assert "openRectificationFromHomepage" in source