Man does not make the Church infallible, the the Holy Spirit does. The Church does not make the Church infallible, the Holy Spirit does. The Bible does not make the Church infallible, the Holy Spirit does.
John 16:13-15
But when he, the Spirit of truth, comes, he will guide you into all truth. He will not speak on his own; he will speak only what he hears, and he will tell you what is yet to come. 14 He will bring glory to me by taking from what is mine and making it known to you. 15 All that belongs to the Father is mine. That is why I said the Spirit will take from what is mine and make it known to you.
It isn't like there is just one Scripture that points to the HS guiding the Church in Truth , the Gospel is filled with references and consider who He is speaking to, the Apostles, exclusively. Not the crowds that followed him but the Apostles and one individual person. The Holy Spirit speaks it's Truth through the One, Holy, Catholic and Apostolic church.
I believe those who think that they are the arbiters of truth, personally led by the HS to interpret the Scriptures as they will, are the ones with circular reasoning.
Since, you quoted scripture as your authority for coming to this knowledge, using the verse below (Jesus talking to His Disciples) that you quoted to me or other Gospel references you mention please show me where these scriptures authorize the RCC’s infallibility.
John 16:13-15
But when he, the Spirit of truth, comes, he will guide you into all truth. He will not speak on his own; he will speak only what he hears, and he will tell you what is yet to come. 14 He will bring glory to me by taking from what is mine and making it known to you. 15 All that belongs to the Father is mine. That is why I said the Spirit will take from what is mine and make it known to you.
led by the HS to interpret the Scriptures as they will,
Being led by the Holy Spirit, the interpretation will be as He wills. Do you believe that the Holy Spirit indwells you? If yes, then what is His purpose in abiding with you? If no, why not?