There is NO MORE OLD COVENANT, it has passed away.
Really? Then we might as all well quit all this Christian stuff.
Why do I say that? Well, there are at least 5 major covenants in the OT. All of them valid and still in effect.
1) Adamic Covenant
2) Noahic Covenant
3) Abrahamic Covenant
4) Mosaic or Sinai Covenant
5) Davidic Covenant
It can be argued to some degree that the 4th is conditional and therefore doesn't apply to Believers, but even that is debatable, unlike the others.
All of the rest of those covenants are unconditional. God made all of them only conditional on His word and promise, not on anything that can be broken by Man. Only the Mosaic Covenant was a dual conditional covenant, and Israel broke that one and it led to their punishment and dispersion from the land.
For instance, the Noahic Covenant. The Lord said that He would never again destroy the earth by a flood. Period. Has no conditions placed on it. Either the earth will never again be destroyed by a flood or the Lord is a liar. I'll let you decide that one.
Another, the Abrahamic Covenant. The sacrifice of the animals being split in half was a ancient ritual where both parties of the covenant would walk between the pieces and recite the words of the covenant. The symbolism is that if either party breaks the covenant, that they be dealt the same way as those animals. Abraham was put into a sleep and the Lord passed between the animals on His own. That made it conditional only upon the Lord's faithfulness to the covenant. Abraham, including all his descendants, couldn't abrogate the covenant if they wanted to. It was a land covenant that is still in effect and will be fully realized during the Millennial Kingdom.
To add a little humor to that... the West Bank will take on a whole new meaning in the Millennial Kingdom. As opposed to the West Bank of the Jordan River now, the new West Bank will be on the Euphrates River in Iraq. The United Nations will have no input in deciding that.
The Davidic Covenant, that a descendent of David would occupy the authority of the king over Israel and all the earth. If that is no longer in effect, then what are we wasting our time on here. Yeshua is never coming back to rule over this earth. Of course, that is silly. He indeed is coming back to do a hostile takeover of the earth and will rule from Jerusalem in the authority of the throne of David. That will be the Millennial Kingdom.
The New Covenant does not eliminate the others, it amplifies and builds upon them.