Former New Jersey Gov. Jim McGreevey, a Democrat who became the nation’s first openly gay governor when he admitted to having an extramarital affair with a male staffer before resigning in 2004, is seeking a second chance in politics after nearly two decades away. McGreevey, 66, announced Thursday he will seek the mayor’s office in his native Jersey City in 2025. The city’s current mayor, Democrat Steven Fulop, is not seeking reelection while he pursues a run for governor. McGreevey is the first to jump into what is expected to be a crowded race to lead the state’s second-most populous city. His potential political comeback comes nearly 20 years after he resigned from office in the wake of a sex scandal that captivated the nation.