NEW YORK — New York Gov. Andrew Cuomo, whose televised coronavirus briefings won plaudits last spring, is now fighting for his political life amid accusations of sexual harassment, bullying and undercounting virus deaths connected to the state’s nursing homes. Here’s a look at the trio of challenges faced by the three-term Democrat: Sexual harassment New York’s attorney general was empowered Monday to choose an independent investigator to probe allegations of sexual harassment by at least two women who worked for Cuomo. Former economic development adviser Lindsey Boylan, 36, first accused Cuomo of harassment on Twitter in December, saying he had made inappropriate comments about her appearance. Her initial, nonspecific accusations initially seemed barely to dent Cuomo’s reputation.