Apply Memberships access level rules to individual custom post type posts

Is there a way to apply the access level rules to individual custom posts?

I have a custom post type: "member-only-blog."

I want to create access levels: "level1," "level2," "level3," etc. And then I want to create three posts in the "member-only-blog" custom post type. I want level1 to see the first post, level2 to see the first and second posts, and level3 to see all three posts.

However my "member-only-blog" custom post type does not appear in the rules area of the Membership Levels edit page.