The governing board of an educational service center may enter into a contract with any political subdivision as defined in section 2744.01 of the Revised Code, not including school districts, community schools, or STEM schools contracting for services under section 3313.843, 3313.844, 3313.845, or 3326.45 of the Revised Code, under which the educational service center will provide services to the political subdivision. Services provided under the contract and the amount to be paid for such services shall be mutually agreed to by the parties and shall be specified in the contract. The political subdivision shall directly pay an educational service center for services specified in the contract. The board of the educational service center shall file a copy of each contract entered into under this section with the department of education by the first day the contract is in effect.