I don't really think this can be effectively handled by automated mechanisms tbh. If it could it might be nice, but this is tackling a social problem with a technical solution, and typically those don't really jive, in large part because the technical solutions make the mistake of supposing an original creative position of null bias or objectivity. Alternatively, they stem from a position of overestimation of one's knowledge and/or abilities related to subjects that they don't in fact know much about nor have much experience in.

For example, how would this kind of software handle a case in which the facts are not fully known yet (much less the more esoteric matter of what even makes a fact)? Similarly, how would you define a bias such that it could determine the biases, and ensure that the bias determination remained accurate over time or locality (biases are notorious for changing over time and varying by place)?

This kind of software would demand not only software/programming folks but also sociologists and philosophers for handling both surveying to assess & try to define biases as well as facts and parsing the ethical impacts of making those assessments, definitions, & determinations. You'd also probably want more specialists in fields I'm unaware of or forgetting at the moment to really thoroughly handle this kind of project. Anything less, I'd argue, would result in a blunder of a project and be rather irresponsible, to say the least.