(a) The commissioner's assessments shall not be reviewed except by the procedure provided in this chapter. No trial court shall have jurisdiction of proceedings to question the assessments, except as provided in this chapter.

(b) When the commissioner is required by law to certify to any county or municipal government of this state all or any part of an assessment or tax against any taxpayer and the taxpayer disputes the correctness of the assessment or tax as determined by the commissioner, the commissioner is directed to certify to the county and municipal government the value of the property of the taxpayer or the tax admitted by him in his return to be due, or both such value and such tax due. After a final determination of the balance of the assessment or tax in dispute, the commissioner shall make a supplemental certification to the county and municipal government of the amount of the balance of the assessment or tax as finally determined. It shall be the duty of the taxpayer to pay as required by law any taxes assessed by the state, county, or municipal governments, both upon the original value as shown in his return and upon the supplemental value determined as provided in this chapter.