I believe the other Kurd religion your reaching for is Zoroastrianism. Those are the main 3, but there’s even more as some are Jewish, and then they have something called Yazi or Yasi and a couple others - real cross roads of an area when it comes to religion.
Aha, I was thinking of Yazidi, I believe. Something to do with a peacock symbol, in the faint recesses of my memory. So some follow Zoroaster, interesting. Iran was Zoroastrian (for 2000 years, before that, Hindu) until Mohammedaism was forced on them, nailed shut around 1700 from my reading.