Final answer:
The NCO common core competency encompassing operations and leadership in a military context, including large-scale and multi-domain operations, is Tactical Competence.
Step-by-step explanation:
The NCO common core competency that includes large-scale combat operations, multi-domain operations, Joint operations, Troop Leading Procedures (TLP), Military Decision Making Process (MDMP), warfighting functions, operational terms & symbols, operational contract support, and DoD strategies is C) Tactical Competence. This competency centers on the knowledge and skills required for non-commissioned officers (NCOs) to effectively participate in and lead military operations across various domains and environments, maintaining operational readiness and contributing to mission accomplishment in a Joint, interagency, intergovernmental, and multinational (JIIM) context.