You still have nothing in Scripture to prove that the RCC is the church which Christ built. The Bible in no way states whether the church was Protestant, Lutheran, Catholic, or whatever else.
OK. Agreed...the specific name, Catholic Church, Lutheran Church, or the other Protestant churches, is not in the Bible (however, nor will you find the words incarnation or trinity there, but they too are in the Bible though not under those names).
What information does the Bible give us about "the Church" that Christ built? St.Matt. 16:18-19; 18:17-18 are 2 Scriptural texts that give a picture, some information about "the Church", Christ's Church, that He intends to build. Christ called it "My Church".
Christ's building of "His Church" is upon Peter, the "rock". Christ spoke in Aramaic and the Aramaic word for rock is kepha. It is --thou art "kepha" (rock) and upon this "kepha" (rock) I will build My Church. Put that together with St. John 1:42 when 2 years earlier Jesus first met Simon and declared that Simon would be called Kepha, the rock which is by interpretation Peter. "Cephas" is a Greek transliteration of the Aramaic word kepha.
In 1Cor. 1:12; 3:22, 9:5, 15:5, St.Paul refers to Peter several times as "Cephas".
So Christ gave Simon the name of the rock Kepha and constituted his office as the earthly head of "His Church" He was building. That Simon Peter was selected by Jesus to be the rock foundation (earthly head) of His Church is enforced by the unquestioned fact that the Keys to the kingdom were promised to Peter on the occasion when his name was changed from Simon to Kepha. The keys to the kingdom of Christ signify power, authority, jurisdiction such as were exercised by every Bishop of Rome from St.Peter to Benedict XVI. We have the writings of the early Church Fathers, some contemporaries of the Apostles, that name St. Peter and show this uninterrupted succession of Bishops.
What do we know about "the Church" from St.Paul's teachings in 1Cor. 12? He called "the Church"--- that Christ built of which He is the Eternal Head and we, the baptized, are members,--- the "Body of Christ". The "Body of Christ" has a hidden, transcendent, supernatural nature. It's a spiritual though real Body which binds its members to each other (one faith, one baptism, one Lord, one flock, etc.) and to Christ, her Head.
"The Church" is the Catholic Church, designated as the "Mystical Body of Christ" differs from all other churches that are called Christian in that it is a spiritual organism, not a mere organization as all the others are.
Only the Catholic Church is both an organization as well as a spiritual organism. From Christ comes His grace, the spiritual nourishment, the life giving influence of the Church to her members. We faithful say with St.Paul "I live, now not I, but Christ liveth in me" having been corporated with Christ into His Body, through the Sacrament of Baptism.
That "the Church" is an organism rather than just a mere organization means it is God-made and not man-made. God and God alone can make an organism whereas man's power is limited to making organizations, in this case sects...or to use the more modern American terminology..denominations. The difference is that an organism, be it a tree, insect, human being, or supernatural society has implanted in it the principle that gives it life. While an organization depends upon its members for its existence, functions, and objective. Yes, the Catholic Church is a society of baptized persons, but has a supernatural nature which doesn't depend upon its members for life as do all the sects.
The Church Christ Our Lord and Our God established upon St.Peter and the Apostles is of supernatural origin as Christ is the Eternal Head and the Holy SPirit indwelling as its soul. It is therefore a real visible body though spiritual in its nature.
Back to St.Matt. 16:18-19. As I've said before, the Catholic Church can never fail because she is indestructible. The destruction of the Mystical Body of Christ would be the destruction of Christ and the Holy Spirit, something that is impossible. To this and this alone can be attributed the indefectibility, the perpetuity of the CC; the inability of "the gates of hell to prevail against it" during the 2,000 years of its existence.
Yet, the Church as an organization as well as an organism is of Christ's making. In an organization-- in the sense of being made up of parts--laity, ministerial, heirarchal priesthood, Sacrifice, Sacraments, endowed with Christ's own authority guided by the Holy Spirit St.John 14:25-26; 16:13, and transmission of powers "to bind and loose" in the areas of faith and morals as well as the authority to forgive and retain sins. St.John 20:23.
So, finishing up, Christ built His Church with St.Peter and the other Apostles as its human foundation. They formed the human part of the Mystical Body of Christ much like an organization...like a corporation in modern business terms...the Twelve men it's board of directors, who extended and expanded its priestly and lay membership as well as the territory in which it operated. They didn't make "the Church", nor could they or their successors unmake the Church (as they could where it a mere organization as are Protestant churches that originally sprang up in the 1500s).
All this is said to drive home one fact: The Catholic Church is the only spiritual organization of Christ's making. All other churches are organizations of human origin.
In fact, these denominations didn't even exist at the time, so why would Christ have said "the RCC is my holy church" in the first place?
Because the Catholic Church is the only one of Christ's making based upon the foundation of St.Peter and the other Apostles.
There is no lumping the CC with all the other churches as just another denomination. All those other churches have no unity of faith, no one baptism, no one faith, diverse doctrines,as well as no continuity of apostolic succession all days since Christ was here on earth. Only the Catholic Church has kept the link of continuity to the action of Christ in founding His Church on the Apostles with their chief being St.Peter.
The truth, which you work around with circular logic and red herring arguments, is that Christ did not directly endorse the RCC at all. He didn't endorse any of the denominations alone - if anything, He endorsed all of them together.
I'll respond to the charge of circularity next.