BizCare theme customisation

Hi guys,
I am trying to make a few changes to the HTML structure of the BizCare theme.

I have a working child theme.

I want to add a couple of divs around the theme logo. The code is in the file header.php (/themes/bizcare/inc/hooks/header.php).

At first, I was thinking about moving /inc/ folder to the child theme and then modifying the HTML.

It does not work as this part of the header is pulled from the parent template via init.php (require trailingslashit(get_template_directory() ) .’/inc/hooks/header.php’;) and functions.php (require get_template_directory() . ‘/inc/init.php’;).

Could you please direct me towards a better solution, then overriding the parent files?
Hooking to bizcare_navigation_page_start()?

Kind Regards
Michael