Our analysis is significantly more complicated compared to

We thank the reviewers for their careful consideration and their feedback, our replies are provided below. We will add a conclusion section to summarize our paper. NLD is indeed a bit unfortunate but the name "non-reversible" for such dynamics is We will define it earlier than Line 114. We thank the reviewer for the insightful comments. We sincerely apologize for mis-citing Lemma EC.6 in [GGZ18].