I accept all that the Catholic Church holds as true.
I think it’s time to reread what I wrote since I did not disagree with any of the quotes you posted.
And Peter, one speaking for the rest of them, one for all, said, You are the Christ, the Son of the living God (Mt 16:15-16)...And I tell you: you are Peter; because I am the rock, you are Rocky, Peter-I mean, rock doesn't come from Rocky, but Rocky from rock, just as Christ doesn't come from Christian, but Christian from Christ; and upon this rock I will build my Church (Mt 16:17-18); not upon Peter, or Rocky, which is what you are, but upon the rock which you have confessed. I will build my Church though; I will build you, because in this answer of yours you represent the Church. — John Rotelle, O.S.A. Ed., The Works of Saint Augustine (New Rochelle: New City Press, 1993), Sermons, Volume III/7, Sermon 270.2, p. 289