Since John always tells the truth, we can find him first by false logic.
If the one sitting on the left were John, he would not say (when asked who the guy in the middle was), "He is John". So he can not be John.
If the one in the middle is John, he should say "I am John" (not, I am Joe). So he can not be John.
John is therefore the one on the right. His statement was true. Therefore the middle one is Jack. That leaves Joe on the left.
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