That would be true if the Church were MERELY a "body of human beings". That is the difference between the True Church and any other religion or even secular group. It is not "a body of human beings with all the weaknesses of human beings." It is the MYSTICAL BODY of Christ. Christ and His Church cannot be separated. This is a very common misunderstanding, the theology of which you can research yourself if you want. My intention is not to get into an argument, but offer this viewpoint because it was really illuminating once it was clearly explained to me. Thanks.
Mystical seems to me as a rather precious word, and I go back to my example of remembering that Jesus was true man although not merely man. The Church is infallible but not impeccable. Our Lord was both, yet he chose to be subject to the same laws that bind us.