Remove Woocommerce 'Added to cart' notice when the product is removed from the cart.

wc-notice-functions.php

add_action('woocommerce_remove_cart_item', 'remove_added_to_cart_message_for_product', 10, 2);

function remove_added_to_cart_message_for_product($cart_item_key, $cart)
{
    $product_id = $cart->removed_cart_contents[$cart_item_key]['product_id'];
    $product = wc_get_product($product_id);
    if (!$product) {
        return;
    }

    $all_notices = wc_get_notices();

    if (empty($all_notices['success'])) {
        return;
    }

    $product_name = get_the_title($product_id);

    foreach ($all_notices['success'] as $index => $notice) {
        if (strpos($notice['notice'], $product_name) !== false) {
            unset($all_notices['success'][$index]);
        }
    }

    $all_notices['success'] = array_values($all_notices['success']);

    wc_set_notices($all_notices);
}