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Associate Editor: One reviewer still has some comments. Please revise your manuscript accordingly.

Reviewer #1: My issues have been addressed. So, I recommend to publish the manuscript.

Reviewer #2: Most comments have been addressed in the reviewed manuscript. This article is also well organized and written. However, the proposed method still needs to overcome several obvious shortcomings that make it very weak to warrant publication in this journal.
1. Both the proposed framework and stopping criterion are simple changes to the existing methods [1-2]. In fact, the performance of the proposed failure probability errors with leave-one-out method is not necessarily better than the relative error of failure probability.
[1]. Zhang JH, Xiao M, Gao L. An active learning reliability method combining Kriging constructed with exploration and exploitation of failure region and subset simulation. Reliability Engineering and System Safety 2019; 188:90-102.
[2]. Jiang C, Qiu HB, Yang Z, Chen LM, Gao L, Li PG. A general failure-pursuing sampling framework for surrogate-based reliability analysis. Reliability Engineering and System Safety 2019;183:47-59.
2. The errors in Eq. (4) should be corrected.
3. The number in Fig.1 should be corrected.
4. It is recommended that the authors give a clear enlarged view near the limit state surface in Figure.4.
5. The two   in Eq. (30) should be distinguished.
6. The paper also suffers from grammar-related issues and needs thorough proofread.

Reviewer #3: Authors addressed concerns of this reviewer. Paper can be accepted for publication.

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