So is the Church what? That the Church must serve humanity or that it is the "powerful few" as some here are saying?
In the first case, I claim that it has and that it does. I'm not sure how you can credibly claim otherwise. Only ideologically informed animosity could distort one's views here. If you know the mission of the Church, then I see no issue. Do members of the Church fail? Of course. Everyone does, and indeed this is captured best in the Christian acknowledgment that everyone is a sinner, without exception. Everyone falls short.
In the second case, I don't know what the implication is. Is it that the Church is one of the "powerful few" and therefore evil? The first question you must ask is what your notion of "power" here is. The second, whether the Church is actually powerful according to that definition. The third, whether you are falsely linking being one of the "powerful few" with being evil. The problem, after all, is not with power, but with the way power is used. In an ideal world, all power would be exercised morally, and all authority would have commensurate power.
I would say this: the Church has authority. Whether it has power depends on your definition of power and the particular historical epoch. It is not reduced to a simple boolean.
It's best to avoid cheap jabs that rely on boring and unthinking tropes that appeal to widespread prejudices rather than to informed reason.
Everything you say apply to the AI. Even more so that there are very good open models which anyone can host and get almost exact same power.