Any person aggrieved by any assessment of a deficiency in tax determined and assessed by the Mayor under the provisions of § 47-1812.05 and any person aggrieved by the denial of any claim for refund made under the provisions of § 47-1812.11 may, within 6 months from the date of the assessment of the deficiency or from the date of the denial of a claim for refund, as the case may be, appeal to the Superior Court of the District of Columbia, in the same manner and to the same extent as set forth in §§ 47-3303, 47-3304, 47- 3306, to 47-3308.