How do I use paging in a content type containing a paragraph?
Build a view for paragraphs and place it in the content type with an EVA display  (Entity Views Attachment).

To do this add a EVA display, connect it to the node entity (content) and bundle (content type) in the Entity Content Settings, select as Arguments the ID of the entity the view is attached to and add a contextual filter for the parent id.

Now the view appears as field in the content type and you can use the pager from the view for the paragraphs inside of the field.