2 Existentialists claimed that we are unable to make sense of the incoherent world and our place in it (our rationality is powerless in this regard). Question has nothing to do with Descartes-style rationalism.
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Does existentialism rule out the existence of a rational world?

I have no grounding in philosophy, but I have just this minute been reading a few articles about existentialism.

I was confused by its apparent rejection of rationalism. I understand that this arises from the belief that people make subjective and irrational choices. But I don't see why this leads to a conflict with the concept of rationalism itself. Surely an appreciation that people are irrational does not make the world itself irrational?

Is it not possible to believe in existentialism while also believing that we live in a rational world, subject to universal laws?