minimizer, including those given by [40], and Lemma 2 applies to an arbitrary algorithm, even including those not

We deeply appreciate constructive and insightful comments from the reviewers. We will clarify this point in the revised version. On the other hand, we agree to the reviewer's point We believe that R1 refers to (Line 42), where we point to [30]. By contrast, we focus on nonsequential scenarios where such concerns do not arise. Apparent lack of tailored analysis for risk-sensitivity.