Belief is not a Works..
(Romans 4:1-5) "What shall we say then that Abraham our father, as pertaining to the flesh, hath found? {2} For if Abraham were justified by works, he hath whereof to glory; but not before God. {3} For what saith the scripture? Abraham believed God, and it was counted unto him for righteousness. {4} Now to him that worketh is the reward not reckoned of grace, but of debt. {5} But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for righteousness."
It is a work and I guess you decided to ignore the verse I provided that says it is a work. The "his faith" above is Christ's faith, not their faith. A person's faith has no righteousness, only Christ's faith does. See the following verse.
[Phl 3:9 KJV] 9 And be found in him, not having mine own righteousness, which is of the law,
but that which is through the faith of Christ, the righteousness which is of God by faith:
The "counted to him for righteousness" is that Abraham accounted his belief to God - that God is righteous.
Notice in the below, that we are clearly told God's righteousness is made manifest (revealed) by it being given from "faith to faith; that is, it originates as Christ's faith and is imputed to those whom God has chosen to save.
[Rom 1:16-17 KJV]
16 For I am not ashamed of the gospel of Christ: for it is the power of God unto salvation to every one that believeth; to the Jew first, and also to the Greek.
17
For therein is the righteousness of God revealed from faith to faith: as it is written, The just shall live by faith.
(Romans 3:27-28) "Where is boasting then? It is excluded. By what law? of works? Nay: but by the law of faith. {28} Therefore we conclude that a man is justified by faith without the deeds of the law."
Again if Faith was a Work then the above would make no sense because it clearly makes a distiction declaring Faith to not be a Works..
It does make sense, but you attribute faith to the wrong person/source. The law of faith is speaking of justification by Christ's faith, not a person's faith. Again, if someone has to have faith to be saved, that requirement makes the having of faith into a law besides that it is a work. But man cannot be saved by their works of law, only by Christ, so it cannot be speaking of a faith which supposedly originates from a man.
[Gal 2:16 KJV] 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.