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IMO parroting lies of others without critical thinking is also lies.
For instance if you print lies in an article, the article is lying. But not only the article, if the article is in a paper, the paper is also lying.
Even if the AI is merely a medium, then the medium is lying. No matter who made the lie originally.
Then we can debate afterwards the seriousness and who made up the lie, but the lie remains a lie no-matter what or who repeats it.