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It's supposed to rhyme with Nix, being derived from it, so I would suspect it's monosyllabic. Thus, I would pronounce it "gwix."

A surprisingly high number of Nix and NixOS users are German speakers and there's an informal name of "NichtsOS" given to it.

It's not supposed to rhyme with Nix. Rather, it's a portmanteau of Guile and Nix. The pronunciation is indeed like the English word 'geeks'.