so I think
and that was the beginning of the Catholic Church
None of the pomp and circumstance of the Catholic Church was there when Peter spoke to the crowd and thousands were saved. No Pope, no nuns, no indulgences, no Catholic anything was urged. Peter never proclaimed himself the first Pope of the Catholic Church, because there was no such thing. Peter's church consisted of men and women who had just witnessed Christ's return to the very place that He was killed, and stayed for 40 days, in Jerusalem. It is why they were so steadfast in their beliefs:
1 Corinth. 15:6 and that He was seen by over five hundred brethren at once, of whom the greater part remain unto this present, but some have fallen asleep.
Peter was long dead before the Catholic Church was established. Prior to that, Christians were persecuted and murdered en masse. Constantine cleared the way for a church to be formed in Rome.
While Paul's churches are recognized by Jesus in Revelation, the Catholic Church doesn't even get honorable mention, because it did not exist. If it was the church that Christ started, then He would surely take up His 1,000-year reign from His church, the Vatican. But He does not. He resides in the same city that Peter actually did start the Lord's church in, and He stays there. Eventually, Heaven itself will descend to earth. It will do so in the holy city of Jerusalem, not Rome.
I saw the holy city, the new Jerusalem, coming down from Heaven from God, prepared as a bride adorned for her husband. And I heard a loud voice from the throne saying: “Behold, the dwelling place of God is with man, and He will dwell with them. They will be His people, and God Himself will be with them as their God.
To the Jew first, then the Gentile...