NEW YORK — The New York Philharmonic will have new and improved hall to play in this fall. After decades of struggling to redesign the concert hall the orchestra calls home, Lincoln Center announced Wednesday that the redevelopment will be completed by this fall — ahead of schedule. With a $550 million budget in place, the redesigned David Geffen Hall is now slated to reopen in October 2022, with spacious performance spaces to host different kinds of events. “The new David Geffen Hall will be NYC’s cultural hub, teeming with excitement from early morning to late at night — a place where New Yo…