For a contract entered into by a district under any of the methods provided by this subchapter, the district shall publish notice of the time and place the bids or proposals, or the responses to a request for qualifications, will be received and opened. The notice must be published in a newspaper of general circulation in each county in which the district is located once each week for two consecutive weeks before the deadline for receiving bids, proposals, or responses. If there is not a newspaper of general circulation in any county in which the district is located, the notice shall be published in a newspaper of general circulation in the county nearest the county seat of the county in which the district is located or the county in which the greatest amount of the district’s territory is located. In a two-step procurement process, the time and place the second-step bids, proposals, or responses will be received are not required to be published separately.