The memory required to track all these particles was insane, so we just made a wave of where they were most likely to be and picked a random spot when the exact location was needed. 🤷
I think where the sense starts to fall through is in remembering that it's not a ball though. It's a wave, and the spin only in one direction when interacting with something else, otherwise it's akin to three parts spinning clockwise, and one part spinning counter-clockwise. 🫠
And yes you are correct, as it exists as a probability wave, it is not spinning. It does however have intrinsic angular momentum as seen in effects like Hydrogen Fine Structure, that behave exactly as though it were a ball spinning, with a set specific angular momentum. But don't worry, the confusion is alleviated when you learn that it very definitely isn't a ball spinning as it doesn't have a singular spin but rather a super position of possible spin states. You can think of it like, for example, three parts spinning clockwise and one part spinning counter-clockwise.
It usually around this point that I am reminded that the universe does not owe my puny monkey brain a lick of sense.