many of the comments truly helpful to improve the quality of the paper, and some of them actually enlightened us, 2 correcting some of our initial claims that turn out to be wrong

We are very grateful to all reviewers for their detailed, insightful, and constructive comments and questions. But we believe that they are very important, and we will pursue them in our ongoing study. The column "FC" is excerpted from Our responses (blue) to reviewers' comments/questions ( black/bold/italic) are as follows. We will refine our claims, and also refer to these SA VI methods. It turns out that it was our faulty claim.