How to update display (refresh) category after adding a product?

Question

WordPress

I am using woocommerce plugin.
I add a new product to an empty category using the wp_insert_post () function;
The product is added, but this same category with the new product is not displayed in the list of categories.
If you go to the admin panel and resave the product manually, the category is displayed.
As I understand it, after adding a product, you need to update its category so that it understands that it is no longer empty and can be displayed on the site. How to update it?