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Your quote from St Augustine was his original opinion, he later changed his mind and wrote in “Retractations”:

“In one place I said ...that the Church had been built on Pter as the Rock...but in fact it was not said to Peter, “Thou art the Rock”, but rather “Thou art Peter”. The Rock was Jesus Christ, Peter having confessed Him as all the Church confesses Him. He was then called Peter (the rock)...Between these two sentiments let the reader choose the most probable.”

Peter had not a primacy over the apostles , but AMONG them, and Christ said to them, “I will build upon Myself, I will not be built upon thee.”

“For neither did Peter whom the Lord chose ...when Paul afterwards disputed with him ...claim or assume anything and arrogantly to himself, so as to say that he held a primacy and should rather be obeyed by newcomers.”

St Cyprian quoted by Augustine

“The Rock is the unity of faith, not the person of Peter.”
St Cyprian in De Catholicae Ecclesiae

“I believe firmly that by the Rock you must understand the unshaken faith of the apostles.”

St Hilary 2nd TRinity

“This one (Peter) is called a rock in order that on his faith (Rock) he may receive the foundations of the Church.”

St Gregory Nazianzen

(The apostles) aspired to the possession of Christ, who is truly his head, for the hed of man is the Christ, Who at the same time is the ONLY HEAD OF THE CHURCH...all the apostles are the foundations of the Church, the columns of truth ...from them flow abundant torrents of divine doctrine.

St Gregory of Nyssa Panegyric of St Stephen

“The word “Rock” signifies the steadfast and firm faith of the apostles.”

St Cyril of Alexandria Upon St John

“Peter and John were equal in dignity and honor. Christ is the foundation of all - the unshakeable Rock upon which we are all built as a spiritual edifice.”

St Cyril

I will no longer respond on this subject. It is obvious that your explanation of where truth can be found is limited, since only you will determine what is germaine and what is not.

I will pray for you.