How to hide a political murder?

What is the best way to hide the fact that the moon landings were a waste of public money? How do you prevent any politician investigating NASA?
The answer is simple – you create a PR group whose sole purpose is to manufacture conspiracy theories about the moon landing – and then if any politician gets close to revealing the actual dirty secrets of NASA – you accuse them of being a “moon landing conspiracist”. Indeed, with luck you don’t even need the PR group – because if conspiracies develop “by themselves” – you can just use them.
In other words, if you “nurture” conspiracies that can be defended very easily, you can use these to hide the real conspiracy that obviously cannot be defended.
Thus, I suspect one of the hallmarks of a state sponsored political murder is a campaign to manufacture conspiracies. In other words, in order to hide a real conspiracy, one leaves false trails of “breadcrumbs” which are easily followed – and which will inevitably be pursued, but they only lead “conspiracy investigators” on a wild goose chase to laughably easily defending conclusions – thus diverting them (and serious investigators) away from the real conspiracy.
So, assuming those engaging in political murders are aware of how the public behave as I am, one hallmark of an actual state (or similar body) sponsored political murder would be a large number of false trails. Thus for an actual state sponsored murder we would expect in rapid succession a number of “conspiracy theories” to develop based on “clues” that then turn out to be false or misleading.