Ecommerce Shopify WordPress Discussion

Shopify Clear Cart Cookie on logout

I want to Shopify Clear Cart Cookie on logout I need full code and step by step I don't have any AJAX cart items (drawers, slideout cart etc) on the site so using AJAX would be an option here. My knowledge of anything other than HTML, CSS and some basic JS is very limited. With my limited knowledge, I was thinking that running a script that clears the cart when the Homepage is loaded would work well, as there are really only 3 pages on the site, the Homepage, Cart page and Checkout page. This is code that I found, but I am not sure how to implement it or if it would even work at all:
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