Question: Jones Beach Island is the former home of the nightclub near what park?

Context paragraphs:
Jones Beach State Park: Jones Beach State Park (colloquially, "Jones Beach") is a state park of the U.S. state of New York.  It is in southern Nassau County, in the hamlet of Wantagh, on Jones Beach Island, a barrier island linked to Long Island by the Meadowbrook State Parkway, Wantagh State Parkway, and Ocean Parkway.

Outer barrier: The outer barrier, also known as the Long Island and New York City barrier islands, refers to the string of barrier islands that divide the lagoons south of Long Island, New York from the Atlantic Ocean.  These islands include Coney Island, Long Beach Barrier Island, Island Park, Jones Beach Island, Fire Island and Westhampton Island.  The outer barrier extends 75 mi along the South Shore of Long Island, from Rockaway Beach on the New York City/Nassau County border from Long Beach Barrier Islands' western edge, to Suffolk County's east end of Shinnecock Bay.

Jones Beach Theater: Northwell Health at Jones Beach Theater (originally Jones Beach Marine Theater) is an outdoor amphitheatre at Jones Beach State Park in Wantagh, New York.  It is one of two major outdoor arenas in the New York metropolitan area, along with PNC Bank Arts Center.  The theater was designed to specifications provided by Robert Moses, who created Jones Beach State Park.

Loop Parkway: The Loop Parkway (also known as the Loop) is a 2.65 mi parkway in Nassau County, New York, in the United States.  It serves the barrier islands south of Long Island itself, beginning on Long Beach Barrier Island at an intersection with Lido Boulevard in Point Lookout.  From here, it heads generally east–west across Alder and Meadow islands to an interchange with the Meadowbrook State Parkway on Jones Island, a part of Jones Beach State Park located just north of Jones Beach Island.  The islands served by the Loop Parkway are separated by narrow channels of water, all of which connect to Jones Inlet.  The parkway is maintained by the New York State Department of Transportation (NYSDOT) and inventoried by the department as New York State Route 908C (NY 908C), an unsigned reference route.

Oak Beach Inn: The Oak Beach Inn, commonly referred to by the abbreviation OBI, was a Long Island nightclub located in Oak Beach, on Jones Beach Island near Captree State Park in the Town of Babylon, Suffolk County, New York.

Jones Beach Island: Jones Beach Island is one of the outer barrier islands off the southern coast of Long Island in the U.S. state of New York.  It is named for Major Thomas Jones, who first came to Long Island in 1692, where he proceeded to build the island's first brick house near Massapequa.  Jones built a whaling station on Jones Island near the present site of Jones Beach State Park in 1700.  Jones Beach Island is sometimes referred to as Oak Beach Island and is the former home of the infamous Oak Beach Inn.

Ocean Parkway (Long Island): The Ocean Parkway is a 15.59 mi parkway that traverses Jones Beach Island between Jones Beach State Park and Captree State Park on Long Island, New York, in the United States.  It begins at the southern terminus of the Meadowbrook State Parkway and heads east across Jones Beach Island, intersecting the south end of the Wantagh State Parkway before ending just past the southern terminus of the Robert Moses Causeway.  The highway is designated New York State Route 909D (NY 909D), an unsigned reference route.

Short Beach (New York): Short Beach is the beach on the northern shore of the western end of Jones Beach Island.  The beach faces Great South Bay instead of the Atlantic Ocean, thereby providing some shelter from storm waves.  Since 1851 it has been the home of a coastal lifesaving station operated (at first) by the United States Life-Saving Service and later by the United States Coast Guard.  The current facility, Station Short Beach, typically does around 500 search and rescue missions each year —one of the busiest units in the Coast Guard's 1st District.  The Jones Beach State Park's West End Boat Basin is also on Short Beach.  The Jones Beach West End barracks of the New York State Park Police is around 200 feet south of the Short Beach shoreline.  An uninhabited islet, Short Beach Island, is usually just offshore, but occasionally connects to the beach when low tide exposes sandbars to the surface.

South Oyster Bay: South Oyster Bay or East Bay is a natural harbor along the western portion of the south shore of Long Island in New York in the United States.  The harbor is formed by Jones Beach Island, a barrier island on the southern side of Long Island.  It is approximately 3 mi (5 km) wide between the two islands, and approximately 15 mi (24 km) long.  It links to Great South Bay on its eastern end and opens to the Atlantic Ocean through inlets on either side of Jones Beach Island.

Wantagh State Parkway: The Wantagh State Parkway is a 13.33 mi long state parkway on Long Island, New York, in the United States.  It links the Ocean Parkway in Jones Beach State Park with the Northern State Parkway in Westbury.  The parkway is located approximately 30 mi east of Manhattan and 14 mi east of the Nassau–Queens border.  Construction began in 1927 on this, one of the earliest of the Long Island parkways, with the initial 5 mi segment opening two years later as the Jones Beach Causeway, connecting Merrick Road in Wantagh to newly opened Jones Beach State Park.  The parkway is inventoried by the New York State Department of Transportation (NYSDOT) as New York State Route 908T (NY 908T), an unsigned reference route.

Supporting paragraphs: Jones Beach Island Oak Beach Inn
Answer: Captree State Park