wooCommerce add multiple post type

I’d like to build an eCommerce platform to sell diamond and rings. Select wooCommerce plugin for the same. My actual product is Rings and I’m listing different diamond which suits with each rings. But customer can’t buy a ring separately, a purchase should be together so a ring and a diamond. So that I have added ring as product in wooCommerce plugin and added its categories.
Diamond have different properties like color, clarity, price and certificate. Customer can find a matched diamond by filter these terms.
To fulfill this requirement there is any option to add diamond as another product (post type) which can avail all properties of wooCommerce? Or there is any other logic to implement my idea. Please help, I’m totally confused.