Don't Introduce a V2 API
y.tsutsumi.io
y.tsutsumi.io
At which point you eventually start losing your current customers too because they can do enough things with the new, fast-evolving API of your competitor that it's worth the cost of rebuilding.
Also, most documentation of APIs is nowhere near good, so intuition matters a lot.
HN is full of 100% black or 100% white theses that are the equivalent of guerning youtuber clickbait. Most of it is true under some conditions and false under others... it would be better to put it that "Sometimes you have to pick if v1 or v2 of your api is more likely to kill your project".