Woocommerce product search result layout page

Usually there is a comment at the start of each WC template file, which basically says: This template can be overridden by copying it to yourtheme/woocommerce/wc-template-name.php.. This is the correct and recommended way to override WooCommerce templates.

I think you should look into having a child theme for when there is a theme that already have those templates overridden, or even if it doesn’t.
See https://developer.wordpress.org/themes/advanced-topics/child-themes/ for reference.

What I said above is applicable for the search.php as well. Of course it will depend very much on your theme setup.

If you provide more details on where and what you’re trying to achieve, then I can be more specific.