Any public agency or portion thereof included as part of the territory proposed to be annexed to a special service district pursuant to this article may, by resolution of its legislative body, or a petition of its voters filed with the secretary of the district prior to the hearing on annexation, require the submission of an annexation proposition to the voters of the public agency, or portion thereof. However, no election shall be held if the board, pursuant to Section 29719, excludes from the territory to be annexed the public agency, or portion thereof, proposed to be annexed in accordance with its resolution or petition.