Add database init/close lifecycle events to app startup

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

app/__init__.py

@@ -26,6 +26,17 @@ def create_app() -> FastAPI:
         version="1.0.0",
     )
 
+    # Database lifecycle events
+    from database import init_db, close_db
+
+    @app.on_event("startup")
+    async def startup():
+        await init_db()
+
+    @app.on_event("shutdown")
+    async def shutdown():
+        await close_db()
+
     # Initialize Jinja2 templates
     template_dir = Path(__file__).parent / "templates"
     app.state.templates = create_jinja_env(template_dir)