Sec. 2. As used in this chapter, "nonpublic contract" means a contract that is entered into without solicitation of proposals or competitive procurement. However, the term does not include a contract entered into under the following:
(1) IC 5-22-10.
(2) IC 4-13.6-5-5 (Emergency conditions).
(3) An agreement or contract described in IC 31-25-4-13.1.