Hi,
There is no override capability in badges.
If you set several badges for one product, all badges will be added to the product.
This allows you to place badges on different corners of the product image.
That way, you can, for example, have a new badge and a discount badge at the same time on a product.
Now, if both badges are set in the same corner of the product, then both will be on top of each other. The order of the badges comes from the order you enter for the badges on the listing of the badges in the "order" column.