The Live Editor allows you to use a Hosted Page template to design a local page or any other custom post type.
Enable LTPLE for a custom post type
First you need to make sure that the type of page you want to customize is enabled.
To do so, from the backend of your distribution website go to Live Editor > General Settings and check the required post types:
Start a Page from a Hosted Template
Once the custom post type is enabled for Live Editing start a new page and populate only the title to acquire a page ID:
Once the page is created you will see the Default Layer