Well, you have some of this correct. There is, however, no such word as "church" in the Scriptures. Here is yet another fabrication of Rome (or perhaps Germany). The Greek word for "assembly" implies a unified gathering. And, it was a common word used even for the riotous group in Ephesus (Acts 19:30). Now this particular use matches the Roman organization well.
It is Jesus who is building His gathering, not Rome. And, He did not build it in Rome, but in His mind and heart and from among the elect, those He has chosen before the foundation of the world. He is the Chief Cornerstone, the Apostles are the initial blocks, and those pre-destined by the Messiah Himself are a part of it. Rome has been left in its chains of error.
Certainly, Rome attempted to hijack the concept of the universal gathering described by Jesus (around 250 AD...you folks may wish to read non-revisionist history), but they created instead one of the most skewed cults in the human experience second only, perhaps, to Isalm (its vile cousin). It is the RCC cult which we are inviting you to leave...if Jesus permits it. If not, then Esau and Rome will be long time partners.
Matthew 18:17, Matthew 16:18. You are probably thinking of the word "bible" which does not appear in scripture.