Theme Customization API and child themes

I’ve recently developed a parent theme that makes heavy use of the Theme Customization API. Is there an easy way to port these settings when a user activates one of my child themes? Currently, the data previously saved in the Customize screen disappears when activating a child theme. Of course, once they reactivate the parent theme, the settings return.

Any dealt with this yet?

There is already an answer about this question with explicable examples How do I get a parent theme modification from a child theme?.

You can also check about get_theme_mod here https://developer.wordpress.org/reference/functions/get_theme_mod/