The thing that interested me (well it all interests me really) is that you can't do a single burn that puts you into a lunar orbit. Not according to ChatGPT anyway.
You do the translunar injection burn, but with a free return built in, and that's what has happened. But if you want to orbit the moon you have to fire the engine again whilst going around it to slow you enough to stay captured by its gravity.
I'd have thought there would be a sweet spot of hitting just the right speed as you reach the moon to then remain in orbit. I hadn't thought about this with regard to Apollo, but it is surprising that it can't be done, it would mean one less burn to get into lunar orbit.