The county attorney, other prosecuting attorney, Auditor of Public Accounts, or chairperson of the Executive Board of the Legislative Council or chairperson of a standing committee or a special legislative investigative or oversight committee of the Legislature upon an affirmative vote of a majority of the board or committee, may request an order pursuant to section 29-2011.02 when in such person's judgment:

(1) The testimony or other information from such individual may be necessary to the public interest; and

(2) Such individual has refused or is likely to refuse to testify or provide other information on the basis of the privilege against self-incrimination.