An individual who has been denied admission to the licensing examination under Section 5110 may petition the board for admission to the Certified Public Accountant examination not less than one year after the effective date of the decision issued by the board following a hearing held pursuant to the provisions of Chapter 5 (commencing with Section 11500) of Division 3 of Title 2 of the Government Code or, if there was no hearing, may petition the board not less than one year after the decision or action pursuant to the notice of action issued by the board becomes final as provided in subparagraph (D) of paragraph (1) of subdivision (a) of Section 5112, unless the decision or notice of action issued by the board specifies a different timeframe within which this petition may be filed. However, in no event shall the timeframe specified by the board be more than three years from the effective date of the board’s decision or from the date that the board’s action pursuant to the notice of action becomes final.