The Trump administration said it will not join a global effort to develop, manufacture and equitably distribute a coronavirus vaccine, in part because the World Health Organization is involved, a decision that could shape the course of the pandemic and the country’s role in health diplomacy. More than 170 countries are in talks to participate in the COVID-19 Vaccines Global Access (Covax) Facility, which aims to speed vaccine development, secure doses for all countries and distribute them to the most high-risk segment of each population.