The special at a restaurant near City Hall turned out to be a conflict of interest.

A former housing official has agreed to pay a $20,000 fine for using government resources to run 17 Murray, a popular political hangout in the shadow of City Hall, it was disclosed yesterday.

Joseph Fischetti, the Housing Authority’s former senior deputy director for infrastructure technology, admitted in a settlement with the Conflicts of Interest Board that after he bought a 50 percent stake in the 17 Murray restaurant in 2005, he devoted hours to the eatery on the city’s time.