A claim for refund may be made within 4 years after the assessment of a tax or an assessment to recover all or part of any tax credit, including penalties and interest, under this chapter, assessed by office audit or field audit and paid if the assessment was not protested by the filing of a petition for redetermination. No claim may be allowed under this subsection for any tax, interest or penalty paid with respect to any item of income, credit or deduction self-assessed or determined by the taxpayer or assessed as the result of any assessment made by the department with respect to which all the conditions specified in this subsection are not met. If a claim is filed under this subsection, the department of revenue may make an additional assessment in respect to any item of income or deduction that was a subject of the prior assessment. No claim for refund may be made in respect to items that were not adjusted in the notice of assessment or of refund. A person whose returns for more than one year have been adjusted may make a claim under this subsection whether or not the net result of the adjustments for those years is an assessment. This subsection does not extend the time to file under s. 71.53 (2) or 71.59 (2), and it does not extend the time period during which the department of revenue may assess, or the taxpayer may claim a refund, in respect to any item of income or deduction that was not a subject of the prior assessment.