As supplementary reading material (more to do with Galileo's character rather than competence), I highly recommend the series of articles [1] entitled "The Great Ptolemaic Smackdown", which provides a great deal of historical, political and scientific context for Galileo's actions and legacy.
Will this be the next holistic take on a legendary mind that spurs an overreaction in popular culture due to the novelty of being able to objectively criticise a giant, a la Edison? It's even got Aristotle in Tesla's place as the underappreciated adjacent figure.
Columbus, Edison, and now Galileo. Turns out a lot of icons of Enlightenment don't survive the light of historical nuance.
That's not a problem as long as we use that opportunity to give some forgotten heroes a bit more limelight.