The City Council shall consist of seven members, each residing in and elected from districts...
...All other matters voted upon shall be by majority vote of the Council members present but no ordinance shall be adopted on the same day it is introduced unless five affirmative votes are received in favor of it.
...Except for Council appointments to committees, boards, and commissions; its employment of the City Manager, the City Attorney, and the City Clerk; its internal affairs and matters which must be approved by the voters, the Mayor may veto any action adopted by the Council.
...An action vetoed by the Mayor shall automatically be on the agenda at the next regular or special meeting of the Council, but shall not become effective unless it was readopted by the Council with at least five members voting in the affirmative.
...In voting on amendments to zoning ordinances, the Mayor shall be deemed a member of the legislative body as that term is used in 28 G.S. 160A-385.
As far as I can tell from first glance, 3 Black, 4 White.
Something voted on by 4, can be vetoed by 1, and affirmed by not having 5 votes.