Change header's contents

Hello!
I would like to make some modifications to the Travelify header contents, mainly I would like to show both the site logo and site name, and some other little tweaking.
I have the necessary php and css knowledge, and I have found that the code responsible for the contents of the header is in travelify/library/structure/header-extensions.php. I would like to ask, what is the best way to edit this in a child theme? Create the same file in the child theme and edit the code there, or create some hook in the functions.php file?

Thank you very much!
Greetings,
Toth Balint BT