Unionized nurses at Jersey Shore University Medical Center have agreed to a new contract with Hackensack Meridian Health, which owns the Neptune facility. Health Professionals and Allied Employees (HPAE) — the largest nurses union in the state — touted the three-year agreement as a win for the workers. “This is a huge victory for Jersey Shore HPAE members,” President Debbie White said in a statement. “They fought back multiple takebacks that the employer sought at the bargaining table and made dramatic progress on security and safety issues, with room for further progress in the future.” Hacke…