Whenever a witness refuses, on the basis of the privilege against self-incrimination, to testify or to provide other information in a criminal proceeding or investigation before a court, a grand jury, the Auditor of Public Accounts, the Legislative Council, or a standing committee or a special legislative investigative or oversight committee of the Legislature, the court, on motion of the county attorney, other prosecuting attorney, Auditor of Public Accounts, chairperson of the Executive Board of the Legislative Council, or chairperson of a standing or special committee of the Legislature, may order the witness to testify or to provide other information. The witness may not refuse to comply with such an order of the court on the basis of the privilege against self-incrimination, but no testimony or other information compelled under the court’s order or any information directly or indirectly derived from such testimony or other information may be used against the witness in any criminal case except in a prosecution for perjury, giving a false statement, or failing to comply with the order of the court.