Question: The base in which the 66th Rescue Squadron is stationed hosts which air combat exercises?

Context paragraphs:
39th Rescue Squadron: The 39th Rescue Squadron (39 RQS) is part of the 920th Rescue Wing at Patrick Air Force Base, Florida.  It operates HC-130P Hercules "Combat King" aircraft conducting search and rescue (SAR) and combat search and rescue (CSAR) missions.  An Air Force Reserve Command (AFRC) unit, it is operationally-gained by the Air Combat Command (ACC).

Nellis Air Force Base: Nellis Air Force Base ("Nellis" colloq. ) is a United States Air Force installation in southern Nevada with military schools and more squadrons than any other USAF base.  Nellis hosts air combat exercises such as Exercise Red Flag and close air support exercises such as Green Flag-West flown in "Military Operations Area (MOA) airspace".  associated with the nearby Nevada Test and Training Range (NTTR).  The base also has the Combined Air and Space Operations Center-Nellis.

66th Rescue Squadron: The 66th Rescue Squadron is stationed at Nellis Air Force Base, Nevada, where it operates HH-60 Pave Hawk aircraft conducting search and rescue and combat search and rescue missions.  It is geographically separated unit of the 563rd Rescue Group at Davis-Monthan Air Force Base, Arizona, which is part of the 23d Wing at Moody Air Force Base, Georgia.

103d Rescue Squadron: The 103d Rescue Squadron (103 RQS) is a unit of the New York Air National Guard 106th Rescue Wing stationed at Francis S. Gabreski Air National Guard Base, Westhampton Beach, New York.  The squadron has no assigned aircraft; personnel assigned use aircraft of the 101st and 102d Rescue Squadrons of the Wing.

101st Rescue Squadron: The 101st Rescue Squadron (101 RQS) is a unit of the New York Air National Guard 106th Rescue Wing stationed at Francis S. Gabreski Air National Guard Base, Westhampton Beach, New York.  The squadron is equipped with the HH-60 Pave Hawk helicopter, configured for combat search and rescue operations.

304th Rescue Squadron: The 304th Rescue Squadron is an Air Force Reserve Command combat search and rescue unit located at Portland Air National Guard Base, Oregon.  The squadron is a geographically separated unit assigned to the 943d Rescue Group at Davis-Monthan Air Force Base, Arizona, and the 920th Rescue Wing at Patrick Air Force Base, Florida.

212th Rescue Squadron: The 212th Rescue Squadron (212 RQS) is a unit of the Alaska Air National Guard 176th Wing stationed at Joint Base Elmendorf-Richardson, Anchorage, Alaska.  The squadron has no assigned aircraft; personnel assigned use aircraft of the 210th and 211th Rescue Squadrons of the Wing.

57th Rescue Squadron: The 57th Rescue Squadron is part of the 48th Fighter Wing at RAF Lakenheath, England.  As part of the 48th Operations Group it conducts pararescue operations in support of higher command directives, at times utilizing HH-60G Pave Hawk and Lockheed HC-130 Hercules aircraft.  The 57th Rescue Squadron is a combat-ready squadron of pararescue personnel capable of performing combat rescue and personnel retrieval missions in theaters of operations worldwide.

36th Rescue Squadron: The 36th Rescue Squadron (36th RQS) at Fairchild AFB Washington is part of the 58th Operations Group, 58th Special Operations Wing since 2012.  It was formerly part of the 336th Training Group at Fairchild Air Force Base, Washington.  It operates UH-1N Iroquois Twin Huey aircraft conducting search and rescue missions in support of the US Air Force Survival School in Washington state.  The 36th Rescue flight was formally upgraded to squadron level when it was re-designated as the 36th Rescue Squadron on 14 August 2015.

305th Rescue Squadron: The 305th Rescue Squadron is part of the 943rd Rescue Group at Davis-Monthan Air Force Base, Arizona, a subordinate of the 920th Rescue Wing at Patrick Air Force Base, Florida.  It operates HH-60 Pave Hawk aircraft conducting peacetime and combat search and rescue missions.

Supporting paragraphs: 66th Rescue Squadron Nellis Air Force Base
Answer: Exercise Red Flag