

You are making good progress here…In the end we MUST accept on faith.
However I did not bold “alone” because, as you questions and research has shown, we also rely on what has been written down, in Scripture…in the ECFs and so forth. So - it is faith, but it is faith that is also informed by reason. What the Catechism refers to as a “well formed conscience”
In this I think that you need to clearly define what you mean by “infallibility” and what the Church defines it as. You also need to separate teaching from practice - the teachings of the Church (ekklesia - community called out) and the actions of individuals, even high ranking individuals.
It can become quite complicated.
Since you are a law student, let me ask you something. If you found yourself practicing law in a community of great corruption, misapplication of the law, greed, bribery and other obviously criminal acts by high ranking public officials, would you believe that the law was wrong? Or rather would you believe that the law was right and the individuals were wrong?
Many times this is what one finds in the Church. The teachings are quite right. But the actions of individuals and even groups of individuals can be uummm…less than stellar.
This is where I fall back on Holy Scripture and the passages I pointed out to you earlier…In particular Mt 18:15-18 (the principle) and Acts 15 (the principle in action).
Consider that, in Acts 15, there was a group who firmly believed they were right but - after much debate, they were overruled. Now many may have been convinced by the debate, but were they all?? It seems most likely (given human nature) that the Judaizers fell into three categories during and after the council.
- Those who were convinced.
- Those who still wondered, but submitted their wills to the will of the Church.
- Those who rejected the decision and left the Church
The majority fell into groups one and two but certainly there were a few who likely left over the matter. My point being that, once the Church had spoken on the matter, that was it. Authority in Action.
Now consider non-Catholic Christianity from the Reformation till today.
By rejecting this authority, the protestant fathers set up a system that cannot fulfill the requirements of Scripture.
All they can do is to try to redefine it by saying that Mt 18 refers to the “local community”, yet Acts 15 clearly demonstrates against this since it was a conflict involving communities in multiple locations.
However, in spite of this clear evidence in Scripture AND the clear evidence of 500 years of protestant division and doctrinal conflict, they persist in this same troubling barrier that is troubling you. They cannot accept that Christ intended His Church to be authoritative and for us to “Tell it to”…and to “Listen to”…“The Church”.
As for the perfection or imperfection of the Church…It will be as perfect or imperfect as we, the faithful, make it.
Peace
James