That is false - Paul is very clear throughout Galatians that he is writing about the Law of the Pharisees - you fail to show knowledge of the larger issue:
It is so incredibly obvious and repeated over and over again that this is about the Pharisee-Jewish Law and no other
That is false - Paul is very clear throughout Galatians that he is writing about the Law of the Pharisees - you fail to show knowledge of the larger issue: Galatians 2:1 "Then fourteen years after I went up again to Jerusalem ..." 15 We who are Jews by nature, and not sinners of the Gentiles, 16 Knowing that a man is not justified by the works of the law, but by the faith of Jesus Christ, even we have believed in Jesus Christ, that we might be justified by the faith of Christ, and not by the works of the law: for by the works of the law shall no flesh be justified. 19 For I through the law am dead to the law, that I might live unto God. 21 I do not frustrate the grace of God: for if righteousness come by the law, then Christ is dead in vain. It is so incredibly obvious and repeated over and over again that this is about the Pharisee-Jewish Law and no other
Once again, like your church, you seem to presume that since you assert something then that makes it true, but which it does not, for indeed Paul is very clear throughout Galatians that he is writing about the Law of the Pharisees, and thus in which teaches what I said, that the Law represents all systems of justification based upon merit of them, for what you leave out is
Is the law then against the promises of God? God forbid: for if there had been a law given which could have given life, verily righteousness should have been by the law. (Galatians 3:21)
Catholics imagine that by adding "by the grace of God" to their works then they can saw they are not contradicting Scripture in holding that they "have truly merited eternal life" by their very works, ((Trent, Canons Concerning Justification, Canon 32) but which a devout Judaizer teaching that salvation is via law-keeping could say. Fulfilling the righteousness of the law is what faith works toward, and such evidence justifies one as being a believer and fit to be rewarded for his works, but no one a merits eternal life by actually becoming good enough to be with God ("full salvation") thru Purgatory.
Thus if there had been a system of justification based upon merit of works which could have given life then the Law would be it, and righteousness would have been by the law. And also as shown and ignored, Paul also broadly disallows "works of righteousness" which we have done as appropriating justification. (Titus 3:5; Eph. 2:8,9)