It’s exactly like she explained. One tells the truth and the other always lies. If she asked the liar what the right path would be, they would give the wrong answer. The truth-teller would know that so they’d say that the liar would give the wrong answer.
If she asked the truth-teller what the right path is, they’d give the right answer. If she asked the liar what the truth-teller’s answer would be, they’d lie and give the wrong answer.
Either way, she can safely say that the correct path is the opposite of what they said.
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