All three are facets of the same thing. You fail fast so you know when to pivot, and where to pivot to, and you persevere to make it through the pivot. You can easily add a hundred other adages and cliches to this pile. These are just new buzzwords for old wisdom.
Ummm... I don't think the 'fail fast' notion is at all related to the "persevere at all costs" meme I've seen popping up the past couple weeks. The whole point is that the PAAC supporters got the point of failure (or perceived failure) multiple times, but did not fail. Often there's no mention of a major pivot, just that they "kept going".