Using tags to make posts appear on different pages?

Hey, I’m trying to setup my wp to be exactly the way I want, I just haven’t figured out how to do this quite yet. My blog is: https://www.tracktimeaudio.com

I have set up “categories” for posts to fall under, let’s say A, B, and C. I am trying to set up things in such a way that, in the menu, there is a “Page A”, “Page B”, and “Page C” under which all postings categorized as “A” show up in page A and so on. For an example, see https://www.designingsound.org — I’m not entirely sure how they do it, but they have “articles” “interviews” and “specials” etc. Any ideas?