Thank you very much for your efforts.
I certainly didn't express myself well:
The pages must be public in the frontend. Only in the backend a certain user group is allowed to edit all pages with the category āHouseā. I have 100 pages. Unfortunately, I can't assign a permission to all pages individually, especially as the customer creates new pages themselves. They would then always have to go to the permissions. It has to be more global.
In joomla, this is normally done via the category. If I assign the appropriate permissions there, the user can only edit his posts. But this has no effect on the Pagebuilder categories