Question: Paul F. Lorence was shot down while commanding what supersonic aircraft?

Context paragraphs:
Supercruise: Supercruise is sustained supersonic flight of a supersonic aircraft with a useful cargo, passenger, or weapons load performed efficiently, which typically precludes the use of highly inefficient afterburners (reheat).  Many well known supersonic military aircraft are not capable of supercruise as they are only able to maintain supersonic flight in short bursts (typically with afterburners) while they cruise at subsonic speeds.  Aircraft such as the SR-71 Blackbird are designed to cruise at supersonic speed with afterburners enabled.

Unstart: In supersonic aerodynamics, unstart refers to a generally violent breakdown of the supersonic airflow.  The phenomenon occurs when mass flow rate changes significantly within a duct.  Avoiding unstarts is a key objective in design of the engine air intakes (inlets U.S.) of supersonic aircraft which cruise at speeds of M2.2+.

KAI T-50 Golden Eagle: The KAI T-50 Golden Eagle (골든이글) is a family of South Korean supersonic advanced trainers and light combat aircraft, developed by Korea Aerospace Industries (KAI) with Lockheed Martin.  The T-50 is South Korea's first indigenous supersonic aircraft and one of the world's few supersonic trainers.  Development began in the late 1990s, and its maiden flight occurred in 2002.  The aircraft entered active service with the Republic of Korea Air Force (ROKAF) in 2005.

Spontaneanation: Spontaneanation with Paul F. Tompkins (stylized as SPONTANEANATION with Paul F. Tompkins) is an improv comedy podcast hosted by Paul F. Tompkins on the Earwolf network.  Based upon an interview with a special guest, Tompkins and several "improvisational friends" (often co-stars from "The Thrilling Adventure Hour", "Superego", "No, You Shut Up! ", or "Bajillion Dollar Propertie$") perform narrative improv set in a location provided by the guest.

General Dynamics F-111 Aardvark: The General Dynamics F-111 Aardvark was a supersonic, medium-range interdictor and tactical attack aircraft that also filled the roles of strategic nuclear bomber, aerial reconnaissance, and electronic-warfare aircraft in its various versions.  Developed in the 1960s by General Dynamics, it first entered service in 1967 with the United States Air Force.  The Royal Australian Air Force (RAAF) also ordered the type and began operating F-111Cs in 1973.

Tupolev Tu-444: The Tupolev Tu-444 is a concept for a supersonic business jet by the Russian Tupolev company.  Tupolev has had previous experience developing supersonic transport aircraft with projects such as the Tu-144, Tu-144LL and other experience with supersonic aircraft with the Tu-22, Tu-22M and Tu-160 bombers.

Supersonic transport: A supersonic transport (SST) is a civilian supersonic aircraft designed to transport passengers at speeds greater than the speed of sound.  To date, the only SSTs to see regular service have been Concorde and the Tupolev Tu-144.  The last passenger flight of the Tu-144 was in June 1978 and it was last flown in 1999 by NASA.  Concorde's last commercial flight was in October 2003, with a November 26, 2003 ferry flight being its last airborne operation.  Following the permanent cessation of flying by Concorde, there are no remaining SSTs in commercial service.  Several companies have each proposed a supersonic business jet, which may bring supersonic transport back again.

Wallace D. Hayes: Wallace D. Hayes (b. September 4, 1918 – d. March 2, 2001) was a professor of mechanical and aerospace engineering at Princeton University and one of the world's leading theoretical aerodynamicists, whose numerous and fundamental contributions to the theories of supersonic and hypersonic flow and wave motion strongly influenced the design of aircraft at supersonic speeds and missiles at hypersonic speeds.  This greatly enhanced the development of supersonic flight and supersonic aircraft design.

Paul F. Lorence: United States Air Force Captain Paul F. Lorence (February 17, 1955 – April 15, 1986), a weapon systems officer (WSO), was killed when his F-111F fighter-bomber, tail number 389 & callsign Karma 52, was shot down in action off the coast of Libya, on April 15, 1986.

Supersonic aircraft: A supersonic aircraft is an aircraft able to fly faster than the speed of sound (Mach number 1).  Supersonic aircraft were developed in the second half of the twentieth century and have been used almost entirely for research and military purposes.  Only two, Concorde and the Tupolev Tu-144, ever entered service for civil use as airliners.  Fighter jets are the most common example of supersonic aircraft.

Supporting paragraphs: Paul F. Lorence General Dynamics F-111 Aardvark
Answer: General Dynamics F-111 Aardvark