This section does not apply to nonemergency transportation or ambulance billing services performed by an ambulance service or by any other provider. A county or municipal corporation that bargains collectively with fire, emergency medical services, paramedic, and rescue personnel may not contract with a for-profit entity to provide the county’s or municipal corporation’s complete fire suppression or ambulance and rescue services without the enactment of an ordinance or other local law that authorizes the action. The requirement that a county or municipal corporation enact an ordinance or other local law under subsection (b) of this section may not be satisfied through the enactment of a local budget bill.