Question: Which is taller, Masherbrum or Haramosh Peak?

full_context: Document 1: Haramosh Peak: Haramosh Peak (Urdu: ہراموش چوٹی‎ ; also known as Haramosh or Peak 58) is a mountain located in the Karakoram range of the Gilgit-Baltistan of Pakistan. Its height is also often given as 7,409m.
Document 2: Baltoro Glacier: The Baltoro Glacier (Urdu: ‎ ), at 63 km in length, is one of the longest glaciers outside the polar regions. It is located in the Gilgit-Baltistan region (the northernmost political entity of Pakistan). It runs through part of the Karakoram mountain range. The Baltoro Muztagh lies to the south and east of the glacier, while the Masherbrum Mountains lie to the south. At 8,611 m (28,251 ft), K2 is the highest mountain in the region, and three others within 20 km top 8,000 m.
Document 3: Gasherbrum I: Gasherbrum I (Urdu: ‎ ; ), surveyed as K5 and also known as Hidden Peak, is the 11th highest mountain in the world at 8080 m above sea level. It is located on the Pakistani–Chinese border in Gilgit–Baltistan region of Pakistan and Xinjiang region of China. Gasherbrum I is part of the Gasherbrum massif, located in the Karakoram region of the Himalaya. Gasherbrum is often claimed to mean "Shining Wall", presumably a reference to the highly visible face of the neighboring peak Gasherbrum IV; but in fact it comes from "rgasha" (beautiful) + "brum" (mountain) in Balti, hence it actually means "beautiful mountain."
Document 4: K6 (mountain): Surveyed as K6 (Urdu: کے 6‎ ), but also known as Baltistan Peak. This is a notable peak of the Masherbrum Mountains, a subrange of the Karakoram mountain range in Gilgit Baltistan region of Pakistan. Despite being much lower than its sister mountains, the Eight-thousanders and high 7000m peaks such as Masherbrum, it has huge, steep faces, and great relief above the nearby valleys.
Document 5: Gasherbrum: Gasherbrum (Urdu: گاشر برم‎ ) is a remote group of peaks located at the northeastern end of the Baltoro Glacier in the Karakoram range of the Himalaya on the border of the Chinese-administered Shaksgam Valley and the Gilgit-Baltistan territory of Pakistan. The massif contains three of the world's 8,000 metre peaks (if Broad Peak is included). Although the word "Gasherbrum" is often claimed to mean "Shining Wall", presumably a reference to the highly visible face of Gasherbrum IV, it comes from "rgasha" (beautiful) + "brum" (mountain) in Balti, hence it actually means "beautiful mountain".
Document 6: Mustagh Pass: The Mustagh Pass or Muztagh Pass is a pass across the Baltoro Muztagh range in the Karakorams which includes K2, the world's second highest mountain. The crest of the Baltoro Muztagh marks the present border between Pakistani and Chinese territory.
Document 7: Gasherbrum IV: Gasherbrum IV (Urdu: گاشر برم -4‎ ; ), surveyed as K3, is the 17th highest mountain on Earth and the 6th highest in Pakistan. It is one of the peaks in the Gasherbrum massif.
Document 8: Masherbrum: Masherbrum (Urdu: ‎ ; formerly known as K1) is located in the Ghanche District, Gilgit Baltistan of Pakistan. At 7821 m it is the 22nd highest mountain in the world and the 9th highest in Pakistan. It was the first mapped peak in the Karakoram mountain range, hence the designation "K1".
Document 9: Baltoro Kangri: Baltoro Kangri (Urdu: بلتورو کنگری‎ ; also known as the Golden Throne) is a mountain of the Karakoram mountain range in Gilgit-Baltistan, Pakistan. Baltoro Kangri is the 82nd highest mountain in the world with an elevation of 7312 m . It lies to the south of the Gasherbrums and east of Chogolisa Peak (7,665 m). The huge Baltoro Glacier (which is one of the largest glaciers outside polar regions) rises from the foot of Baltoro Kangri. In the north of Baltoro Kangri is the Abruzzi Glacier.
Document 10: Rush Peak: Rush Peak is a mountain in the Karakoram mountain range of Central Asia. It is located in the Nagar District of Gilgit-Baltistan, Pakistan. While not a high peak by local standards, it is noteworthy as a remote trekking destination. It can be reached via Nagar Valley and Hoper Village. The peak can be accessed via Hoper Glacier (Bualtar Glacier) and Barpu Glacier. The peak is relatively easy to climb in the summer months and ascents have been made by amateur climbers without proper mountaineering gear. In winter, access to the mountain is made difficult by heavy snows. The top of the peak provides stunning views of Miar Peak (6,824 m), Miar Glacier and Phuparash Peak (6,574 m). On a clear day, one can look east and see some of the world's highest mountains, including K2 and Broad Peak. At the mountain's base lies one of the world's highest alpine lakes, Rush Lake (4,694m).
Document 11: Laila Peak (Haramosh Valley): Laila Peak in the Haramosh Valley, (near Chogurunma Glacier) is 6985 m high. It was first climbed by the Hekiryou Alpine Club of Japan on 9 August 1975.
Document 12: Paraber Peak: Paraber Peak (6,322m / 20,741 ft) is a peak in Stak Valley of Gilgit-Baltistan. This mountain is located in the Karakoram range and the prominent landmarks in the vicinity are Haramosh Peak, Laila Peak, Kutia Lungma Glacier and the Chogo Lungma Glacier.
Document 13: Rimo Muztagh: The Rimo Muztagh is one of the most remote subranges of the Karakoram range. The southern part of Rimo Muztagh is in the Kashmir portion of far northwestern India, also claimed by Pakistan. The northern half, including the Rimo massif, is in the Siachen area (territory controlled by India). It is far from major towns, and close to the militarily sensitive Siachen Glacier, so it has seen little exploration or climbing activity compared to, for example, the nearby Baltoro Muztagh. The highest peak is Mamostong Kangri, 7,516 metres (24,659 feet).
Document 14: Rakaposhi: Rakaposhi (Urdu: ‎ ), is a mountain in the Karakoram mountain range in Pakistan. It is situated in the middle of Nagar Valley Nagar District and Danyore and Bagrote valley approximately 100 km north of the capital city Gilgit of the semi autonomous Gilgit–Baltistan region of PaKistan. Rakaposhi means "Snow Covered" in the local language. Rakaposhi is also known as Dumani ("Mother of Mist" or "Mother of Clouds"). It is ranked 27th highest in the world and 12th highest in Pakistan, but it is more popular for its beauty than its rank might suggest.
Document 15: K12 (mountain): Surveyed as K12, this mountain is in the Saltoro Muztagh which is a subrange of the Karakoram range in the Siachen region, near Jammu and Kashmir. It lies near the Line of Control. Its name comes from its designation given during the original survey of the Karakoram range.
ground_truth: Masherbrum