Subject to subsections (b) and (c) of this section, the Board may issue to an individual or for the use of a person one of the following groups of licenses but not both: one Class D (on– and off–sale) beer, wine, and liquor license, five Class B (on–sale) beer, wine, and liquor licenses, and six Class BLX (luxury restaurant)(on–sale) beer, wine, and liquor licenses; or one Class D (on– and off–sale) beer, wine, and liquor license and eight Class BLX (luxury restaurant)(on–sale) beer, wine, and liquor licenses. The licenses specified in paragraph (1) of this subsection are for separate premises. A person may not have a direct or indirect interest in any combination of more than one Class D and nine Class B and Class BLX licenses. For purposes of this section, an indirect interest is presumed to exist between two persons if both: have a common parent company; are linked by a franchise agreement, licensing agreement, or a concession agreement; are part of a chain of businesses commonly owned and operated; share: directors, stockholders, partners, or members; or directors, stockholders, partners, or members of parents or subsidiaries; share, directly or indirectly, profit from the sale of alcoholic beverages; or share a common trade name, trademark, logo, or theme, or mode of operation identifiable by the public.