NEW YORK — Taps are running dry and doors are closing at neighborhood bars across the country. That has left the remaining ones to try to find ways to stay afloat. One in six bars closed between 2004 and 2014, according to market research firm Nielsen. More than 600 close each month, with just 334 opening. The neighborhood bar closures are happening as more people are getting their alcoholic drinks from restaurants, cavernous sports bars with scores of TV screens, brewpubs and at home.