The reason the USA beat the USSR to the Moon
bigthink.com
bigthink.com
N1-L3 failed because it tried to rely on tricks to avoid investing enough resources into proper stuff: for example, they could not afford a test stand to test the entire massive first stage, it could only be tested by launching. Engines themselves were one-off, so they couldn't be tested, after starting once they had to be trashed. Easy to see why this never worked.
The landing scheme itself was incredibly risky and as now known, will most likely result in cosmonaut stranded on the Moon, because same engine was to be used for both landing and takeoff and Apollo LM's landing engines received considerable damage from lunar dust and rocks thrown back into it due to the gases they produced when firing - which wasn't a problem because those engines were no longer used after the landing was achieved - but same thing meant a cosmonaut would be stuck and dead on the Moon. In a way Soviets were lucky their rocket never worked, that saved them from a much bigger embarrassment which they wouldn't be able to hide.
The early achievements of the Soviet Union were natural logical progressions from the V2 rocket. It was a small step that replied on the same level of engineering. This is why they were able to achieve first man in space and for satellite and so forth. The scale of the problem to get to the moon and bring someone home is so massively different that it's even difficult for us to replicate currently.
Could be a Cold War myth, but that's the story I've heard for the past 45 or so years.
The US in the space race was like that meme of a guy standing in last place on the awards podium, bathing himself in champagne.
I also wouldn't necessarily discount the effect of losing someone like Korolev to the Russian space program. From what I understand, the Russians were so hamstrung by bureaucracy and politics that the loss of someone actually competent in a position of power could very well have devastated the future of the program. Look at the debacle that was the Vanguard project in the US, for instance, which was mostly the result of ruthless cost-cutting from higher ups who considered rockets to be a waste of time and money for any purpose other than delivering nuclear weapons. In a more centralized system like the USSR, the damage caused by political meddling can be more difficult to mitigate, I think.