Reviewer 3: Thank you for your encouragement to demonstrate the significance of our findings, in response to which

We would like to thank all referees for their appreciation of our results and the useful feedback. We will include these results in the final version of the manuscript. Reviewer 4: Please find our responses to your comments below. Assumption 5.2 to ensure the convergence guarantees of the ELBO problem. We will elaborate more in the final version.