WordPress. What is the best way to make an automatic gallery for each category of media files or posts, like on the site in the example (preferably without code)?

Question

CMS

There is an old site dman54.tmweb.ru

Is there a plugin that will allow you to make several galleries, each will show pictures of a given category or several / all categories at once (categories, for example, from here https://ru.wordpress.org/plugins/wp-media -library-...
That is, when you add an image and specify its category, it will automatically go to the gallery?
Or any similar solution through posts, preferably a plugin, any ideas?
Need any ideas, for example, how best to google in English / Russian this question?