Output any saved pattern as a shortcode.
When navigating to the Patterns admin screen, you'll be presented with a Shortcodes column, which you can then copy.
You can paste this shortcode anywhere shortcodes are supported, which includes most page builders.
As a block plugin author, you can recommend this plugin's shortcode facility to display your block in page builders.
Place a copied shortcode anywhere shortcodes are supported. Shortcodes work for both synced and unsynced patterns.
In the case of using a shortcode for unsynced patterns, you can consider every instance of that shortcode synced.