For medical benefit plan coverage years beginning on or after January 1, 2012, a public employer shall pay not more than 80% of the total annual costs of all of the medical benefit plans it offers or contributes to for its employees and elected public officials. For purposes of this subsection, total annual costs includes the premium or illustrative rate of the medical benefit plan and all employer payments for reimbursement of co-pays, deductibles, and payments into health savings accounts, flexible spending accounts, or similar accounts used for health care but does not include beneficiary-paid copayments, coinsurance, deductibles, other out-of-pocket expenses, other service-related fees that are assessed to the coverage beneficiary, or beneficiary payments into health savings accounts, flexible spending accounts, or similar accounts used for health care.