Where there has been an overpayment of any tax imposed under Section 40-18-71 or 40-18-80, the amount of such overpayment, if a petition for refund is timely filed or the department otherwise allows an automatic refund within that period, may be credited against any income tax or installment thereof then due from the taxpayer, and any balance shall be refunded to the taxpayer or if the taxpayer’s bank or other financial institution, pursuant to the State Financial External Lead Program or any other similar program selected by the department, certifies a petition for reimbursement that it has credited the taxpayer’s account in the amount of the refund due the taxpayer because the taxpayer’s refund was erroneously reversed by the department, then the balance shall be paid to the bank or other financial institution as reimbursement. Any costs or reimbursement incurred shall be paid from the same funds to which income tax revenues are deposited.