Question: Are both Nome Airport and Mercedita Airport public use airports?

Context paragraphs:
Waukegan National Airport: Waukegan National Airport (IATA: UGN, ICAO: KUGN, FAA LID: UGN) is a public use airport located in Waukegan, a city in Lake County, Illinois, United States.  The airport is 35 nmi north of the central business district of Chicago.  It was originally named Waukegan Memorial Airport.  It has been operated by the Waukegan Port District since 1956 and is the second busiest airport in Illinois for international arrivals.  In January 2014 under a FAA reclassification of the airport and many others smaller airports across the United States, the airport was renamed Waukegan National Airport

Mercedita Airport: Mercedita Airport (IATA: PSE, ICAO: TJPS, FAA LID: PSE) is a public use airport located three nautical miles (6 km) east of the central business district of Ponce, Puerto Rico.  The airport covers 270 "cuerdas" (approx. 262.2 acres) of land and has one runway.  It was inaugurated as an international airport on November 1, 1990.  Mercedita is Puerto Rico's largest airport in terms of military personnel volume and the second largest in terms of military freight.  The airport is certified under part 139 of the Federal Aviation Regulations.

List of Washington state-owned airports: The following airports are public use airports owned by Washington State Department of Transportation (WSDOT).  The full list of airports in Washington is a separate list; these are only the "state-owned" airports.

Marks Air Force Base: Marks Air Force Base is a former United States Air Force facility located two nautical miles (4 km) west of the central business district of Nome, a city in the Nome Census Area of the U.S. state of Alaska.  Following its closure, it was redeveloped into Nome Airport.

Prinair Flight 191: Prinair Flight 191 was a Prinair (Puerto Rico International Airlines) flight from Luis Muñoz Marín International Airport in San Juan, Puerto Rico, to Mercedita Airport in Ponce, Puerto Rico.  At approximately 11:15pm on 24 June 1972, the aircraft crashed while attempting to land at Mercedita Airport.  Five people died in the accident.  and the remaining people were injured.

Pensacola International Airport: Pensacola International Airport (IATA: PNS, ICAO: KPNS, FAA LID: PNS) , formerly Pensacola Gulf Coast Regional Airport and Pensacola Regional Airport (Hagler Field), is a public use airport three nautical miles (6 km) northeast of the central business district of Pensacola, in Escambia County, Florida, United States.  It is owned by the City of Pensacola.  Despite the name, this airport does not offer direct international flights.  This airport is one of the five major airports in North Florida, others being: Northwest Florida Beaches International Airport, Destin-Fort Walton Beach Airport Tallahassee International Airport, and Jacksonville International Airport.

Nome Airport: Nome Airport (IATA: OME, ICAO: PAOM, FAA LID: OME) is a state owned, public use airport located two nautical miles (4 km) west of the central business district of Nome, a city in the Nome Census Area of the U.S. state of Alaska.

Puerto Rico Firefighters Corps: The Puerto Rico Firefighters Corps —Spanish: "Cuerpo de Bomberos de Puerto Rico" (CBPR)— is the statewide fire department that provides fire protection, rescue, and protection from other hazards in Puerto Rico.  It was established in 1942 under the Puerto Rico Fire Services.  In addition, it offers fire protection services to all the airports under the authority of the Puerto Rico Ports Authority, including the Luis Muñoz Marin International Airport, Rafael Hernández Airport, and Mercedita Airport and they serve as crash rescue divisions.  A separate agency, the Puerto Rico Medical Emergency Corps, provides emergency medical services to all Puerto Rico.

Bering Air: Bering Air is an American airline headquartered in Nome, Alaska, USA.  It operates domestic scheduled passenger and charter airline services, as well as air ambulance and helicopter services.  Its main base is Nome Airport, with hubs at Ralph Wien Memorial Airport (Kotzebue) and Unalakleet Airport

Fort Worth Spinks Airport: Fort Worth Spinks Airport (ICAO: KFWS, FAA LID: FWS) is a city owned, public use airport located 14 nautical miles (26 km) south of the central business district of Fort Worth, in Tarrant County, Texas, United States.  It is the newest of the three airports that are owned by the City of Fort Worth and it serves the cities of Fort Worth, Burleson, and Mansfield.  The airport is located at the intersection of Interstate 35W and HWY 1187 and serves as a reliever airport for Fort Worth Meacham International Airport and Dallas-Fort Worth International Airport.  It was one of few airports in the country to have Class E airspace and a control tower.  However, its airspace now has Class D designation.

Supporting paragraphs: Nome Airport Mercedita Airport
Answer: yes