Coupon image instead of store image

Well,

I would need your help since I can’t figure how to do this.
In the listing/search results, if I have a store image, it will show the store logo instead of the coupon image we set (default theme).

It only shows the coupon image if there’s no store image set.

I would like the other way: it only shows the store image if there’s no coupon image.

Can someone help me please?