The office of district attorney, including the district attorney and the employees of each office within each judicial district, is a juristic entity as described in section 24-53-101, C.R.S. Each office of district attorney shall enter into an agreement with the director of the division of unemployment insurance in the department of labor and employment for the purpose of including the district attorney and the employees of the district attorney's office under the state's federal-state social security coverage agreement with the secretary of the United States department of health and human services pursuant to section 24-53-104, C.R.S.