Notice of suit under section 1494 of this title shall be given to the Attorney General, to the Comptroller General, and to the head of the department requested to settle the account in question.

The judgment of the United States Court of Federal Claims in such suit shall be conclusive upon the parties, and payment of the amount found due shall discharge the obligation.

The transcript of such judgment, filed in the clerk’s office of any district court, shall be entered upon the records, and shall be enforceable as other judgments.