“We tell people in the Church to repent all the time... so the Church is infallible...”
The true Church is made up of the people in the Church— nothing more, nothing less. But you seem to think it is something else, or otherwise your statement appears to contradict itself.
What does your Church consist of? And how can people in the Church need repentance and the Church not need repentance?
You have a confused understanding of the Church. Christ taught that if you had ought against your brother, you should ultimately take it to the Church. If you are Protestant, what Church would that be? How would that work when everyone does what seems right in their own eyes? Why would the Apostle John be under the impression that local Churches had to recognize his authority, and could not just do whatever the hell they wanted to, if there is no visible, united, authoritative Church?