Whenever a corporation or a limited liability entity organized under the laws of this state is dissolved, terminated, liquidated, or otherwise wound-up, by an agreement or notice of the stockholders or owners of the limited liability entity filed in the office of the judge of probate of the county wherein the corporation or limited liability entity was organized, the judge of probate shall at once give notice to the department and Secretary of State of the dissolution event, with the name of the taxpayer and the date of dissolution, termination, liquidation, or other winding-up. When a dissolution of a corporation or limited liability entity organized under the laws of this state takes place by judgment of a court, upon the filing of a complaint under the laws of this state by the creditors, stockholders, the owners of the limited liability entity, or others, the clerk of the court shall at once notify the department and Secretary of State of such dissolution, termination, liquidation, or other winding-up. In any case where petitions are filed in any court by the creditors, stockholders, owners of the limited liability entity, or others for the dissolution, termination, liquidation, or other winding-up of the entity in case of insolvency of the taxpayer, the clerk of the court shall give notice of the civil action to the department so that the department may file a petition in the case in the court for the purpose of collecting any unpaid privilege tax owing by the taxpayer.