Show Badge only for product with Rules

Hello,

We have the Pro Version of your plugin.

We would like to show the Sale Badge only on products that have any type of discount rule from the Discount Rules for WooCommerce plugin and not on all the products that have some sort of offer like discount/sale price from the default woo Functionalities.

If the above is not possible is there a way to output the message from the Discount bar under the price in the Product archives page ( shop page ) in order for the customer to have instant visibility on the offer?

Thank you in advance.