Sort categories by meta value

How can I make a list of categories with 4 last posts in each where every category is sorted by meta_value.

For example, template without sorting by meta_value is
It displays parent categories only.

Few days I am searching something related to categories extra fields but can’t find something workable.

This is my best search result. What I have to do with this? I don’t understand it. Is it possible to do what I want?

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