You’re merging multiple “laws” into one thing. Paul doesn’t treat “Law,” “Mosaic Law,” “Decalogue,” and “New Law” as interchangeable. He distinguishes between the law of works, the law of faith, the law of the Spirit, etc. Flattening them into a single category is a post-biblical move, not a textual one.
The idea that the Ten Commandments = natural law = permanently binding isn’t a biblical argument. Scripture never isolates the Decalogue as the “moral law” distinct from the rest of Torah. That’s a later Christian framework. James 2:10 actually warns against dividing the Law into keepable vs. non-keepable parts.
Galatians 3:24 is used selectively. Yes, the Law was a tutor. But Paul’s whole point is: "Now that faith has come, we are no longer under the tutor" (v. 25). You can’t use v. 24 to argue ongoing obligation while ignoring v. 25.
Jeremiah 31 doesn’t say God will write the Ten Commandments on the heart. It says “My law,” and explicitly contrasts the New Covenant with the one made when Israel came out of Egypt i.e., Sinai. The New Covenant is not just Sinai internalized.
“If you love Me, keep My commandments” doesn’t refer to the Ten Commandments. In John’s Gospel, Jesus’ “commandments” are His own teachings, especially His new commandment to love as He loved (John 13:34-35), not Moses’ commands.
Paul repeatedly calls the Sinai covenant a ministry of death and slavery (2 Cor 3; Gal 4). So saying the Commandments are “paths to freedom” needs to reckon with Paul’s language. He explicitly locates Christian freedom in life by the Spirit, not adherence to written code (Rom 7–8; Gal 5).
Most of your argument depends on the Catechism, not Scripture. If the question is “What does the Bible say?”, the Catechism can't settle the issue by itself. The NT nowhere says the Decalogue survives as a uniquely binding law code for Christians while the rest of Moses doesn't. the OP may present a well-accepted Catholic interpretation, but biblically speaking, it assumes distinctions the text doesn’t make and ignores the parts of Paul that undermine the conclusion. The NT’s moral vision is grounded in the Spirit and the law of Christ, not a selective continuation of Sinai.