I go with "Ree-ort", but then I have a completely made up explanation for it: Captain Reorte (pronounced correctly as Ray-or-tay) was a hero in one of the wars in Sol system centuries ago. It was only natural that a system would be named after him later on. Unfortunately the settlers of that system didn't know their history and didn't know the language, so they got the pronunciation wrong. To this day educated men and women insist on the original pronunciation whilst locals furiously "correct" them.
That I came up with this may show that I spent way too much time jumping in and out of Reorte when I was starting up.