There's no equivalence between Blair and Pope Leo XIV. One states that we somehow need to blindly jump on the bandwagon of AI development, along with political losers such as Osborne and Clegg, notably because AGI is supposedly at the door (nb. it isn't). The other argues that AI confronts leaders with difficult moral choices that should not be bypassed to match the calls of those who benefit from it financially at the expense of others.
One reference that I never see in contemporary discourse about AI is the visionary Henri Bergson. In the final paragraphs of "The Two Sources of Morality and Religion", Bergson delivers a powerful warning about the imbalance between material technology ("mechanics") and human spiritual growth ("mysticism"), concluding that the expanded human body requires a "supplement of soul". Rather than seeing a permanent divide, Bergson argues that technology and morality are deeply interconnected (obvs), yet warns that technological expansion without moral evolution will lead to catastrophe.
We can wait a very long time before Blair delivers his own encyclical on the matter.