Attributes vs. Product Variations

I setup a Product Attribute with 2 options in "Product Attributes".

I expected to be able to add it to a product when adding or editing a product, but I see no place to do this.

I do see that I can set Product Variations in the product edit. When I do that, I see the Product Attribute I created, but it doesn't populate with the options I created. I have to add the options in again.

I need to have something global so that when I specify the attribute, on a product, I get the predefined attributes and don't have to add them in again for each product.