They don't teach "pointed haired boss 101" in school. It's great that you are smart, and know this stuff now. But most people have to go through the hard lessons of having their good will and faith be abused by bad-faith actors.
And yeah, I'm one of those who had to play catch up later and learn all that stuff the hard(er) way.
I don't like the idea of taking credit for the work of your staff; but if your team (run by you) gets credit for a job of work, some of that should absolutely be rubbing off on you.
I've always had better things to do than scheming and game-playing. "Life" is about playing games for one's own benefit; I managed fine, without knocking too many other people down. But some people treat Life as zero-sum. That's fine too - but watch as other people steer clear of you.