What did the early Church Fathers (pre-Nicea A.D. 325) have to say about faith, baptism and if it is the act of baptism that saves?

This question is asked in response to this recent question: https://christianity.stackexchange.com/questions/95826/where-does-the-idea-that-faith-must-be-a-condition-for-baptism-originate-from I am trying to find evidence from the writings of Clement, Polycarp, Irenaeus, Ignatius, and Justin Martyr that justification/salvation depends upon undergoing water baptism and that faith in Christ Jesus is not a pre-condition. So far, this is what I have found: >Clement of Rome: “And we, too, being called by His will in Christ Jesus, are not justified by ourselves, nor by our own wisdom, or understanding, or godliness, or works which we have wrought in holiness of heart; but by that faith through which, from the beginning, Almighty God has justified all men; to whom be glory for ever and ever. Amen” (1 Clement, 32). >Polycarp Letter to the Philippians: “... for as much as you know that it is by grace you are saved, not of works, but by the will of God through Jesus Christ.” Unfortunately, I do not have access to relevant and reliable material and would appreciate some help in finding out ***what the early Church Fathers believed about water baptism***. ***I do not want to go beyond A.D. 325 unless that becomes necessary.*** Thank you. EDIT: I have changed the question to focus more on what the early church fathers had to say about baptism, in the hope that will encourage some input from the community.