Your premise has a major flaw. Our adversarial court system is not great at arriving at the truth of facts. A system for arriving at facts should not be stacked in favor of the better lawyer or the party with deeper pockets, or which witness is more believable. That latter aspect is unavoidably subjective.

I think AI could be used to determine the likelihood of accuracy of news reports, for example. I think truth in advertising laws need to be extended to cover political speech, not only speech to get elected https://medium.com/p/72c3743681f4 but also speech in favor of or against policies and that would not actually be unconstitutional even though that is the present state of the law bought and paid for about 50 or 60 years ago when the 1%s began planning their war against everyone else. Once we eliminate lies, the marketplace of ideas could still work.

Are you talking about facts or truth here? If you are talking about truth, that really means what idea, as opposed to a factoid, is believed. You mentioned Dewey, who as I recently read in one of Douglas Giles's essays, https://medium.com/inserting-philosophy/pragmatism-the-philosophy-with-cash-value-7b85b7e291c was a pragmatist. "Pragmatism is a philosophical tradition that understands that our knowledge of the world is inseparable from our agency within it. We are in the world and we have a particular standpoint within that world, and we have free will to act within that world. All of our subjectivity and all of our practical desires within the world have to be included and factored into our doing philosophy. That philosophical approach has been applied in three basic areas. One is in the philosophy of science. The idea that what is scientific truth is arrived at through a collective. The second application is to a philosophy of truth and meaning. Saying that a belief is true if and only if it is useful to us in our lives. The third application is to social and political philosophy that derives social and political truths from humans individual experiences." emphasis added