Final answer:
The missing element of bureaucracy in the nightclub scenario is impersonality, which removes personal feelings from professional situations.
Step-by-step explanation:
The missing element of bureaucracy in the nightclub scenario described is impersonality. Bureaucracies are characterized by impersonality, which removes personal feelings from professional situations. In the nightclub, bartenders, bussers, and other employees have specialized tasks, while bouncers have the added privilege of allowing their friends in for free. This departure from impersonality and the potential for favoritism goes against the typical bureaucratic structure.