Imagine that you have encountered three talking dogs and you ask them if they are liars or truth-tellers. Dog 1 says something you do not understand. Dog 2 says, "He said he was a truth-teller." Dog 3 says, "Juan is lying." You then ask, "Which one of you is Juan?" Dog 2 says, "I am the only Juan." Dog 3 points to Dog 1 and says, "He is the only Juan." Determine whether each dog is a liar, truth-teller, or whether it can't be determined.
