To address the issue of tracking stability in Bluetooth Low Energy (BLE)-based React-Native apps, it's essential to forward error information from the device to an error tracking service. This can be achieved by using a library like react-native-ble-plx and integrating it with Sentry.io for error tracking. The app can track connection failures, streaming failures, and invalid sensor data by capturing events in Sentry and adding relevant information as tags or extras. By building dashboards in Sentry, the team can visualize errors and other analytics to help them debug issues more efficiently.