How to make pagination if the data can only be requested from the page, not the component?

Question

Vue.js

How to create a logical architecture, if in nuxt you can only request data before rendering from a page, and not a component according to such a structure
/components - here you can only access the store, so nuxt is arranged that you cannot get data before rendering from a component (
/pages - here is how you can get data from the database before rendering and put it in the store

For example, I have a Catalog component Which consists of two components Menu and Product List I
would like to insert the Catalog component on different pages
what about pagination
, it will be in the Product list component
And if I insert a component into 5 different pages, then on all these pages I will have to fill in the store, and the logic will change somewhere, then I will have to change it on 5 pages (