What does the Roman Catholic Church teach about covenant theology?

In Reformed theology, there are summary theological constructs termed the covenant of works, the covenant of grace, and the covenant of redemption. In short, the covenant of works encompasses the path to salvation through perfectly obeying God. The covenant of grace is the path to salvation whereby believers are covered by the blood of Christ, who keeps the covenant of works on our behalf. And the covenant of redemption is between Christ and the Father, where Christ agrees to pay for the sins of his people. Is there any similar or different version of covenant theology in the RCC? What does the RCC teach about the explicitly mentioned covenants in the Bible, e.g. the covenants with Noah, Abraham, Isaac, Jacob, David, and the New Covenant and Old Covenant that the NT and Jeremiah talk about?