Wilcoxon signed rank test vs paired sample sign test

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so I had an argument with my classmate saying about which test to use, (Wilcoxon Sign-ranked test or Paired Sample Sign test). I say that Wilcoxon Sign-Ranked test is more appropriate since it has a near-symmetrical data. But he said, to be sure Paired Sample sign test is more appropriate.

I can't convince him or he can't convince me. Is there any other assumptions to look at to choose what type of test to use?

Below is the pic of the boxplot of the data. enter image description here