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If the user did not finish his order I do not want the checkout to save it for the next time the user order another thing, I do not have the cart option so the user can not remove his previous order, is that possible to let WooCommerce not save the user order if they did not complete it to purchase?
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Do you want the cart to empty itself when the website loads and user has not completed order?
This would be such a pointless and annoying feature for your users. What happens if they go to the checkout & accidentally close their browser or leave the site? Their whole cart just empties?
Removing the cart was likely also pretty pointless. You could have just switched out the basket link (wherever used on your site) with the checkout link. Having the basket enabled isn’t going to hurt anyone if you’re always linking to the checkout instead of the basket anyway.