Any county failing to secure a county depository by the advertisement to the qualified financial institutions of the county and of the adjoining counties, shall readvertise at any subsequent meeting of the board of supervisors, and as soon as possible, for bids for a county depository. Such notice shall be published once a week for three (3) weeks in some newspaper published in the county, and in a daily newspaper in Jackson, Mississippi, and shall state that the proposal is open to any qualified financial institution in the state, and that financial institutions outside of the county shall have preference over county financial institutions.