As all we know, the location of ItemType could be defined by "TOC Access". If we want to make ItemType shows inside a multilevel category, the first thing need to do is define them from category source -- List Item "Categories". Use slash "/" to define the position, it is similar to a computer directory path. Here create 5 categories to demonstrate the example: "Cate1" is the root level; "Cate1.1" and "Cate1.2" are the second level; "Cate1.1.1" and "Cate1.1.2" are the third level inside second level. In addition, take Part to show the test result. Add category "Cate1.1.1", "Cate1.1.2", and "Cate1.1" for "world" Identity to "TOC Access" of Part. Save it and re-login, the test result will show properly.
Programming notes from a non-expert guy who keeps learning in various applications.