Phil Murphy, New Jersey’s proudly Irish governor, is heading to Ireland on a trade trip next month. And, fittingly, he made the announcement on St. Patrick’s Day. Murphy said Thursday he will lead a four-day, two-city government visit to Ireland in April to strengthen economic and cultural ties between New Jersey and Ireland, including encouraging Irish companies to invest in the Garden State. “As Ireland continues to position itself as a global leader in key areas such as technology and life sciences, we want to ensure that New Jersey is the leading choice for companies looking to expand and …