What are the main ideas of Harald Helfgott's proof that all odd $n \geq 5$ is the sum of 3 primes?

This is breaking news, but is there a general feeling that the proof is correct?

Update: It seems that the second question is not even necessary; it seems there is agreement already. However, I still think that the first question is valid. Even though it has been answered, I think it can be reopened to allow further discussion of the proof details.

If and when it reopens, I will edit this comment away to keep only the actual question.