A cadre of elite techies, financiers, and high-level Trump administration officials have spent a year quietly charting an extraordinary and rapid campaign to persuade Americans to use apps and other artificial intelligence-powered tools to manage their healthcare and medical records. As that campaign has unfolded, administration officials have granted tech companies an unusual opportunity to nudge the nation’s health department toward a loosely regulated future for AI health apps in which the government reimburses them for services as it does medical professionals. In February, federal h...