The New Covenant is still made with the same God with the same eternal character traits and therefore the same eternal and cumulatively valid instructions for how to know Him through embodying His character traits (Jeremiah 31:33, Ezekiel 36:26-27).
Again, I agree that we are not under the law, however, Paul spoke about multiple different categories of law other than the Law of God, so it should be worth discerning which law he was referring to out of all of the categories of law that he spoke about.
The details of it are laid out in the New Testament. The reason or one of the reasons that the 613 Mosaic Laws failed and could not bring about salvation was that in order to address every wrong doing you would need 613 million Mosaic Laws and technically there was no real forgiveness for sins in the Old Testament, just sacrifices to appease Yahweh's anger. For it is impossible for the blood of bulls and goats to take away sins. Hebrew 10:4 And without the Grace of Yeshua, one sin kept you out of Heaven. That is probably why Heaven was not offered as a reward in the Old Testament.
The New Testament lays out the do and don't do's. Love God and each other. Do good for each other. And....
1st Corinthians 6:9-10 “Or do you not know that the unrighteous will not inherit the kingdom of God? Do not be deceived; neither the sexually immoral, nor idolaters, nor adulterers, nor homosexuals, nor thieves, nor the greedy, nor those habitually drunk, nor verbal abusers, nor swindlers, will inherit the kingdom of God”
Galatians 5:19-21 Now the deeds of the flesh are evident, which are: sexual immorality, impurity, indecent behavior, idolatry, witchcraft, hostilities, strife, jealousy, outbursts of anger, selfish ambition, dissensions, factions, envy, drunkenness, carousing, and things like these, of which I forewarn you, just as I have forewarned you, that those who practice such things will not inherit the kingdom of God.
Now there are moral equivalents between the Old and New Testaments that are common sense. But the Old Testament concept of Laws do not exist in the New Testament. For more than one reason.