Again, there are conspiracy theories that are not in conflict with proveable facts, and consipiracy theories that are.
So if your theory is that Oswald was not acting alone, that he had help, that someone told him to shoot Kennedy, and so on, these theories are not in conflict with proveable facts.
Fact is, anyone who was a moderate shot with a rifle could shoot Kennedy from the Book Depository window. The shooter didn’t need to be an expert, he didn’t need to have a really good rifle. It is clearly the case that a second-rate shot with a second-rate rifle could fire three shots within the known time frame, and have a pretty good chance of hitting Kennedy.
So was that shooter Oswald? Lots of evidence says it was. You’d have to come up with something a lot better than the fact that Oswald claimed to be a patsy if you want to pin the shooting on someone else, most noteably you’re going to need an actual shooter.
Did Oswald have help, was he acting under orders? There is no evidence that he had help, there is no evidence that he was acting under orders…but the fact that such evidence does not exist can’t prove that he didn’t have help, or that he wasn’t acting under orders. It’s just that since we have no such evidence, we have no good reason to suspect it is true. If Oswald had help, who helped him, if he was acting under orders who gave those orders? The Soviets? The pro-Castro Cubans? The anti-Castro Cubans? The mafia? The CIA? The military-industrial complex? Johnson? Aristotle Onassis? One of the above as a false flag operation pretending to Oswald to be one of the other above?
I don’t believe Oswald was acting under orders, I think he was a nut, because he acted like a nut all his life, and any serious organization wouldn’t use a nut, they’d use a professional. Unless his nuttiness was an elaborate cover, and it strikes me as waaaay to much work to set up such a cover. It’s much more likely that Oswald seemed to be a loser to everyone–his marine buddies, his Soviet contacts, and so on–because he really was a loser.