Woocommerce WordPress Create category for “Out of Stock” items

Is there a way to create a category for items that have their quantity/inventory set to ‘0’? So that all these items can appear on their own page?

I need to display all “Sold” products, and I don’t think it makes sense to create a “Sold” category to add them to, as this starts to get funky with how to items are categorized within other product categories.

Thanks in advance.