Even humans aren't exactly infallible when fact-checking, and truth is a debated term. The training data for any AI would be "biased" to some people and not to others.
2) HN is already great at this. That's why I read comments first.
First, because "fact checking" has become tainted and appropriated for the sake of political demagoguery. Any attempt to do so will be assumed to be an attempt at censorship or misinformation, and result in people from different camps arguing their "facts" against other "facts."
Second, because this is a forum which is supposed to cater to people with intellectual curiosity. That should mean people don't expect their hand to be held and be told what the truth is. It's bad enough this place tries to correlate karma with quality, the last thing we need is a score for truth as well.
Third, the purpose of Hacker News isn't, and shouldn't be, to curate facts. It should be possible to have a civil and intellectually thought provoking discussion about the flaws in a linked article, as well as the facts.