Question: What Florida county is the PGA National Resort & Spa in Palm Beach Gardens, Florida located in?

Context paragraphs:
1983 Ryder Cup: The 25th Ryder Cup Matches were held October 14–16, 1983 at the PGA National Golf Club in Palm Beach Gardens, Florida.

North Palm Beach County General Aviation Airport: North Palm Beach County Airport (FAA LID: F45) , also known as North County Airport, is an uncontrolled general aviation airport located 12 nautical miles (22 km) northwest of West Palm Beach off the Bee Line Highway in Palm Beach Gardens, Florida.  The airport is owned by Palm Beach County and operated by the Palm Beach County Airports Department.

Palm Beach Gardens Challenger: The Palm Beach Gardens Challenger was a tournament for female professional tennis players played on outdoor clay courts.  The event was classified as an ITF $50,000 Tournament from 2003 to 2005 and ITF $25,000 Tournament from 2006 to 2008.  It was held annually in Palm Beach Gardens, Florida, United States, from 2003 through to 2008.  It was part of the ITF Women's Circuit from 2003-2008; a tier below the WTA Tour.

1971 PGA Championship: The 1971 PGA Championship was the 53rd PGA Championship, played February 25–28 at the original PGA National Golf Club, presently known as BallenIsles Country Club (East Course) in Palm Beach Gardens, Florida.

PGA National Golf Club: PGA National Golf Club, the home of the Professional Golfers' Association of America, is in the southeastern United States, located at the PGA National Resort & Spa in Palm Beach Gardens, Florida.  The golf facilities include five championship 18-hole courses, four within the main resort ground and another 5 mi west.  The resort was acquired in August 2006 by Century Golf Partners in conjunction with Walton Street Capital, LLC and SCS Advisors, Inc.

Palm Beach Gardens, Florida: Palm Beach Gardens is a city in Palm Beach County in the U.S. state of Florida.  As of the 2010 United States Census , the population was 48,452.  The city has a number of gated communities.

2004 Palm Beach Gardens Challenger: The 2004 Palm Beach Gardens Challenger was a women's professional tennis tournament played on clay courts.  It was the 2nd edition of the Palm Beach Gardens Challenger, and was an ITF $50,000 tournament from 2003–2005.  It took place at the Palm Beach Gardens Tennis Center in Florida from November 29 to Dec 5, 2004.

PGA National Champion Course: The PGA National Champion Course is an 18-hole golf course located in Palm Beach Gardens, Florida, USA.

1987 PGA Championship: The 1987 PGA Championship was the 69th PGA Championship, held August 6–9 at the Champion Course of PGA National Golf Club in Palm Beach Gardens, Florida.  In hot and windy conditions, Larry Nelson won his second PGA Championship in a sudden-death playoff over 1977 champion Lanny Wadkins.  It was Nelson's third and final major title.

Dwight Mayer: Dwight J. Mayer (1927–2013) was a croquet player.  Mayer served as the first president of the Croquet Club at PGA National in Palm Beach Gardens, Florida, the largest croquet club in the Western U.S. He also served as chair of croquet at the Beach Club in Palm Beach, Florida for 17 years.

Supporting paragraphs: PGA National Golf Club Palm Beach Gardens, Florida
Answer: Palm Beach County