In principle, my understanding is that God does not erase old covenants, but builds upon them.
The Noahic covenant is still in force, despite the Covenant made to Abraham and the Covenant of salvation.
I think the best way to look at it is that the Covenants will be fulfilled, because of God’s Son giving His life for us.
Read your bible again Covenants were broken because men broke them. This is why Jesus was sent. He is the new and everlasting Covenant, all others are void after him.