Neil Sedaka at his home in West Hollywood, Calif., on June 25, 2025. At 86, the singer and songwriter is seeing his albums reissued as he occasionally takes the stage to celebrate his decades-old resurrection. (Philip Cheung/The New York Times) By BOB MEHR After the man in a dark cashmere sweater and tortoiseshell glasses sat down at a piano and leaned into the microphone, his first words were a declaration: “Sedaka’s back … again!” It was late March and the lounge at Vitello’s — an…