Displaying WooCommerce notices as popup alerts

Hello everyone,

I’m making a WooCommerce based e-commerce and I was wandering about how to change the default behaviour of an error alert on a site page on user side (for example: product cannot be added to cart).

Within the default settings, WooCommerce use the woocommerce_cart_redirect_after_error that firstly redirects users on a product page and then, on that page, it displays the error alert (i’m using a multivendor plugin that calls the wp_add_notice()).
I was able to disable this redirect by adding add_filter( 'woocommerce_cart_redirect_after_error', '__return_false' );: the alert notice is not displaying on the same page while the redirect is off.

What i would like to do is to display the alert on the same page or, better, turn any notice in WP and WooCommerce in an alert (intended as a classic popup alert).

Thank you.