trying to decipher how a very important teaching document is not part of the teaching of your church I guess its another one of those things you have to be catholic to understand...
That's why you shouldn't be claiming what Catholics teach or believe. It's not so difficult though. Maybe this will help. Protestant disputes, regarding the real presence in the Eucharist for example, can be teaching documents for the Church (note that doesn't mean they are teachings of the Church) because the opposing conclusions of the dispute demonstrate the error of Sola Scripture.