An inmate died while in custody at Essex County Correctional Facility on Tuesday, county officials said, the fourth person held by the county to die in recent months. The male was found unresponsive at the jail and was pronounced dead at University Hospital, said Phil Alagia, the Essex County chief of staff. Alagia and another county spokesperson declined to offer any more details of what occurred. Alagia said in a statement that the Essex County Prosecutor’s office and the local medical examiner’s office were conducting the required investigation in conjunction with the jail’s internal affair…