Which of the following is NOT a task that the DoD may perform while supporting law enforcement operations?

The task that is not typically performed by the Department of Defense (DoD) while supporting law enforcement operations is conducting arrest operations. The DoD's involvement in law enforcement is usually limited to providing support rather than engaging in direct law enforcement actions, such as making arrests. This limitation is in place to ensure a clear distinction between military and civilian law enforcement roles, as military personnel are not authorized to perform law enforcement functions, including arrests, under the Posse Comitatus Act.

In contrast, maintaining seized vessels, supporting refueling operations, and recording events during seizures align with the DoD's role in providing tactical or logistical support to law enforcement agencies. These tasks fall within the scope of assistance that the military can offer without overstepping its bounds into direct law enforcement activities. Thus, the DoD plays a supportive role in operations that require its unique capabilities without assuming the responsibilities of law enforcement officers.