BERLIN—Frank Vogel, a 64-year-old local politician from the eastern German Erzgebirge region, has been scrambling to find ways to keep nursing homes open when a vaccine mandate for health care workers takes effect next month. His region near the Czech border has one of the lowest vaccination rates in Germany. With only 57 percent of health care workers there having received two shots against the coronavirus, implementing the mandate would result in staff shortages that would force facilities to shut down. “In the end, you have the question: How do you then deal with the people being cared for in these facilities?” Vogel told Reuters. Requiring health care staff to get vaccinated by March 15 is the first step in the new government’s plan to make shots compulsory for all adults. But it has stirred concerns that thousands will be out of a job, leaving hospitals and nursing homes understaffed …