Customize woocommerce child theme, front page

Been out wp customization for a while, now would love some advice on how to customize the front page of a woocommerce child theme.
I want to add more components I looked at the php files but am not sure where best to jump in, and am normally more used to using the underscore template. This feels very different.
Here is link to a mockup of what I’d like to do, new sections in light blue:

and this is the site

Thank you

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