A county may accept payment by wire transfer, electronic transfer, automated clearinghouse, or a nationally recognized credit or debit card for any fee charged by, or compensation, tax, or assessment due to a county. A reasonable fee not exceeding the discount, exchange fee, or other fee incurred by the county may be added to the payment as a service charge for the acceptance of payment by a method authorized by this section. The county auditor or individual functioning as county auditor for a county may determine which nationally recognized cards or other payment methods will be accepted for payments made under this section and the amount of the applicable service charge. A person‘s liability for a payment is not discharged until the county has received payment or credit from the institution responsible for making the payment or credit.