A state chock-full of sanctuary cities is now begging for a stop to the constant flow of illegal immigrants surging through the southern border. Massachusetts Governor Maura Healey — a Democrat — dispatched top state officials to the United States’ border with Mexico earlier this week in an attempt to slow the mass movement of people into the Bay State. The state administrators had a simple and clear message once they reached areas along Texas’ southern line: Massachusetts is full. The Massachusetts delegation, led by Emergency Assistance Director Scott Rice, was sent to numerous locations a…