How to display the minimum cost of a product in a category without taking into account the cost of 0 (Woocommerce)?

Question

WordPress

Hello!
I need the minimum cost of the goods to be displayed in the categories of goods, while the cost equal to zero would not be taken into account, because. for products with a cost of 0, I made the output "On demand" instead of the price.
At the moment, I have the minimum price displayed in the categories. But in variation products where there is a variant with a cost of "0", I get "On Demand" instead of the minimum price.