[2Co 3:6 KJV] 6 Who also hath made us able ministers of the new testament; not of the letter, but of the spirit: for the letter killeth, but the spirit giveth life.6 He has made us competent as ministers of a new covenant—not of the letter but of the Spirit; for the letter kills, but the Spirit gives life. (2 Corinthians 3:6)
What is this "New Covenant" Paul speaks of and what are the Covenantal terms and conditions?
The new testament is not the same as the new covenant but they are interrelated. The new testament required the death of the testator and put into force the new covenant. The new covenant is made only with Israel
[Heb 8:10 KJV] 10 For this [is] the covenant that I will make with the house of Israel after those days, saith the Lord; I will put my laws into their mind, and write them in their hearts: and I will be to them a God, and they shall be to me a people:
The new testament is in a sense a new covenant in that in the first testament God made covenant with Israel.
Paul is not saying the body of Christ is under the new testament just as we werent under the first testament
Pau; is saying God made him able to minister the Spirit (2 Corinthian 3:3 3:8)