Property is not subject to property tax if the property:
(1) is owned by:
(i) a national organization of veterans of the United States armed services; or
(ii) any department, State or local unit, chapter, branch, or post of a national organization of veterans of the United States armed services, including:
1. the 29th Division Association of World War I; or
2. the Society of the Cincinnati of Maryland; and
(2) is necessary for and actually used exclusively for the purposes of any of these organizations.