How can I effectively handle and rethrow non-MySQL errors while maintaining application stability?

To handle and rethrow non-MySQL errors gracefully, use `try...except` blocks to catch the specific exception types raised by the database connector (e.g., `psycopg2.Error` for PostgreSQL, `pymongo.errors.PyMongoError` for MongoDB). Log the error details (including stack trace) for debugging. Decide whether to rethrow the error (often after adding context or a custom message) or to attempt a fallback mechanism. For instance, you might retry the operation or use a default value. Avoid simply swallowing the error without logging or rethrowing; this can lead to silent failures.