vlad_slick

I fixed it using this code:

add_filter( 'woocommerce_order_amount_shipping_total', 'shipping_total_convert_zero_to_int' );
function shipping_total_convert_zero_to_int( $value ) {
    if($value === '0.00') {
        $value = 0;
    }
    
    return $value;
}

add_filter( 'woocommerce_cart_shipping_method_full_label', 'remove_local_pickup_free_label', 10, 2 );
function remove_local_pickup_free_label($full_label, $method){
    return $method->label;
}

It removes the cost from the checkout page, order-received page and e-mails.