Question: On what coast is the Cape that Hyde Parker took part in the capture as a junior officer?

full_context: Document 1: Cape Foulwind: Cape Foulwind is a prominent headland on the West Coast of New Zealand's South Island, overlooking the Tasman Sea. It is located ten kilometres west of the town of Westport. It was previously named Rocky Cape by Abel Tasman, the first European to visit it, in 1642.
Document 2: Fish Hoek: Fish Hoek (Afrikaans: "Vishoek" , meaning either Fish Corner or Fish Glen) is a coastal town at the eastern end of the Fish Hoek Valley on the False Bay side of the Cape Peninsula in Cape Town, South Africa. Previously a separate municipality, Fish Hoek is now part of the City of Cape Town. As a coastal suburb of Cape Town, Fish Hoek is popular as a residence for commuters, retired people and holidaymakers alike. The traditional industries of 'trek' fishing and angling coexist with the leisure pursuits of surfing, sailing and sunbathing.
Document 3: David Porter (naval officer): David Porter (February 1, 1780 – March 3, 1843) was an officer in the United States Navy in the rank of captain and the honorary title of commodore. Porter commanded a number of U.S. naval ships, including the famous USS "Constitution". He saw service in the First Barbary War, the War of 1812 and in the West Indies. On July 2, 1812, Porter hoisted the banner "Free trade and sailors' rights" as captain of the USS Essex. The phrase resonated with many Americans and became a standard summary of U.S. war aims in 1812. Porter was later court martialed; he resigned and then joined and became commander-in-chief of the Mexican Navy.
Document 4: Philip Broke: Rear-Admiral Sir Philip Bowes Vere Broke, 1st Baronet, KCB ( ; 9 September 1776 – 2 January 1841) was a distinguished officer in the British Royal Navy. During his lifetime he was often referred to as Broke of the Shannon, a reference to his notable command of HMS "Shannon" in the War of 1812.
Document 5: Edward Hawke, 1st Baron Hawke: Admiral of the Fleet Edward Hawke, 1st Baron Hawke, KB, PC (21 February 1705 – 17 October 1781) was a Royal Navy officer. As captain of the third-rate HMS "Berwick" he took part in the Battle of Toulon in February 1744 during the War of the Austrian Succession. He also captured six ships of a French squadron in the Bay of Biscay in the Second Battle of Cape Finisterre in October 1747.
Document 6: Cape Howe: Cape Howe is a coastal headland in eastern Australia, forming the south-eastern end of the Black-Allan Line, a portion of the border between New South Wales and Victoria. Cape Howe was also the original name of West Cape Howe, a coastal headland near Albany, Western Australia that forms the westernmost extent of the Great Australian Bight.
Document 7: Lord Henry Paulet: Lord Henry "Harry" Paulet KCB (1767 – 28 January 1832) was an officer in the Royal Navy who saw service in the American War of Independence, the French Revolutionary and Napoleonic Wars. Born into the British nobility as a younger son of the Marquess of Winchester, he rose through the ranks and had gained his own command by the early stages of the French Revolutionary Wars. He was involved in a number of famous engagements during his career, such as the capture of the French frigate "Gloire" in 1795, though he narrowly missed out on seeing direct action at two of the most significant naval battles of the wars with the French. The first was the Battle of Cape St Vincent, where he had left Jervis's fleet a few days previously, the second was the Battle of Copenhagen, where he remained with Sir Hyde Parker's reserve squadron. He nevertheless rose through the ranks to reach vice-admiral, despite an incident that saw him court-martialled and dismissed, only to be reinstated by the intervention of the King; and a tendency to eccentricity. He married towards the end of the wars with France, and had several children. Paulet served as one of the Lords Commissioners of the Admiralty from 1813, and was installed as a Knight Commander of the Bath in 1815, but ill-health forced his retirement from active service shortly afterwards, and he would die of cancer in 1832.
Document 8: Boulders Beach: Boulders Beach is a sheltered beach made up of inlets between granite boulders, from which the name originated. It is located in the Cape Peninsula, near Simon's Town towards Cape Point, near Cape Town in the Western Cape province of South Africa. It is also commonly known as Boulders Bay. It is a popular tourist stop because of a colony of African penguins which settled there in 1982. Boulders Beach forms part of the Table Mountain National Park.
Document 9: Thomas John Cochrane: Admiral of the Fleet Sir Thomas John Cochrane GCB (5 February 1789 – 19 October 1872) was a Royal Navy officer. After serving as a junior officer during the French Revolutionary Wars, he captured the French ship "Favourite" off the coast of Dutch Guiana and then took part in various actions including the capture of the Virgin Islands from Danish forces, the capture of the French island of Martinique and the capture of the French archipelago of Îles des Saintes during the Napoleonic Wars. He also took part in the burning of Washington and the attack on Baltimore during the War of 1812.
Document 10: Cape of Good Hope: The Cape of Good Hope (Afrikaans: "Kaap die Goeie Hoop" ] , Dutch: "Kaap de Goede Hoop" ] , Portuguese: "Cabo da Boa Esperança" ] ) is a rocky headland on the Atlantic coast of the Cape Peninsula, South Africa.
Document 11: HMS Prince Regent (1814): HMS "Prince Regent was a 56-gun British warship that served on Lake Ontario during the War of 1812. "Prince Regent" was built at the Kingston Royal Naval Dockyard in Kingston, Upper Canada and launched on 14 April 1814. Rated as a fourth-rate frigate, "Prince Regent" took part in the Raid on Fort Oswego in 1814. Following the War of 1812 the frigate was renamed HMS "Kingston on 9 December 1814. In 1817, the vessel was placed in reserve following the Rush-Bagot Treaty that demilitarized all the lakes along the United States-Canada border. Discarded in 1832, the vessel found no buyer and sank in Deadman Bay off Kingston after 1832.
Document 12: Hyde Parker (Royal Navy officer, born 1784): Vice-Admiral Hyde Parker CB (1784 – 26 May 1854), sometimes referred to as Hyde Parker III, was a Royal Navy officer. As a junior officer he took part in the capture of the Cape of Good Hope in January 1806 during the Napoleonic Wars. He also commanded the naval forces at the siege of Machias in September 1814 and took the surrender of the frigate USS "President" in January 1815 during the War of 1812. He became First Naval Lord in February 1852 and in that capacity he ensured that all new warships being procured were propelled by steam and he also increased the size of the active fleet.
Document 13: Sir William Parker, 1st Baronet, of Shenstone: Admiral of the Fleet Sir William Parker, 1st Baronet, GCB (1 December 1781 – 13 November 1866), was a Royal Navy officer. As a captain's servant he took part in the Battle of The Glorious First of June in June 1794 during the French Revolutionary Wars and, as a captain, he participated in the capture of the French ships "Marengo" and "Belle Poule" at the Action of 13 March 1806 during the Napoleonic Wars. He was detached on an independent command on the Tagus in September 1831 with a mission to protect British interests during the Portuguese Civil War. As Commander-in-chief of the East Indies and China Station, he provided naval support at various actions between 1841 and 1842 during the First Opium War. Appointed Commander-in-Chief, Mediterranean Fleet in February 1845, he was briefly (for a week) First Naval Lord in the First Russell ministry from 13 July 1846 to 24 July 1846 but gave up the role due to ill health before returning to his command with the Mediterranean Fleet.
Document 14: Cape Peninsula: The Cape Peninsula (Afrikaans: "Kaapse Skiereiland" ) is a generally rocky peninsula that juts out into the Atlantic Ocean at the south-western extremity of the African continent. At the southern end of the peninsula are Cape Point and the Cape of Good Hope. On the northern end is Table Mountain, overlooking Cape Town, South Africa. The peninsula is 52 km long from Mouille point in the north to Cape Point in the south.
Document 15: Cape Point: Cape Point is a promontory at the southeast corner of the Cape Peninsula, which is a mountainous and scenic landform that runs north-south for about thirty kilometres at the extreme southwestern tip of the African continent in the Republic of South Africa. Table Mountain and the city of Cape Town are close to the northern extremity of the same peninsula. The cape is located at , about 2.3 kilometres (1.4 mi) east and a little north of the Cape of Good Hope on the southwest corner. Although these two rocky capes are very well known, neither cape is actually the southernmost point of the mainland of Africa; that is Cape Agulhas, approximately 150 km to the east-southeast.
ground_truth: Atlantic