Galations has nothing to do with the renewal of the covenant.
That is dealt with in Romans.
Christ didn't renew the Old Covenant: He replaced it!
But before faith came, we were kept in custody under the law, being shut up to the faith which was later to be revealed. Therefore the Law has become our tutor to lead us to Christ, so that we may be justified by faith. But now that faith has come, we are no longer under a tutor. For you are all sons of God through faith in Christ Jesus. Galatians 3:23-26 If you believe Christ died to renew the Law of Moses, then you have absolutely no idea what you're talking about!