feat: Implement asynchronous update check on startup with UI integration

src/webdrop_bridge/main.py

@@ -53,6 +53,9 @@ def main() -> int:
         window.show()
 
         logger.info("Main window opened successfully")
+        
+        # Check for updates on startup (non-blocking, async)
+        window.check_for_updates_startup()
 
         # Run event loop
         return app.exec()