Task: Question Answering
Input (English): Passage: During the reign of the Jiajing Emperor (r. 1521–1567), the native Chinese ideology of Daoism was fully sponsored at the Ming court, while Tibetan Vajrayana and even Chinese Buddhism were ignored or suppressed. Even the History of Ming states that the Tibetan lamas discontinued their trips to Ming China and its court at this point. Grand Secretary Yang Tinghe under Jiajing was determined to break the eunuch influence at court which typified the Zhengde era, an example being the costly escort of the eunuch Liu Yun as described above in his failed mission to Tibet. The court eunuchs were in favor of expanding and building new commercial ties with foreign countries such as Portugal, which Zhengde deemed permissible since he had an affinity for foreign and exotic people.With the death of Zhengde and ascension of Jiajing, the politics at court shifted in favor of the Neo-Confucian establishment which not only rejected the Portuguese embassy of Fernão Pires de Andrade (d. 1523), but had a predisposed animosity towards Tibetan Buddhism and lamas. Evelyn S. Rawski, a professor in the Department of History of the University of Pittsburgh, writes that the Ming's unique relationship with Tibetan prelates essentially ended with Jiajing's reign while Ming influence in the Amdo region was supplanted by the Mongols.The Chinese Ming dynasty also deliberately helped to propagate Tibetan Buddhism instead of Chinese Buddhism among the Mongols. The Ming assisted Altan Khan, King of the Tümed Mongols, when he requested aid in propagating Lamaism.Meanwhile, the Tumed Mongols began moving into the Kokonor region (modern Qinghai), raiding the Ming Chinese frontier and even as far as the suburbs of Beijing under Altan Khan (1507–1582). Klieger writes that Altan Khan's presence in the west effectively reduced Ming influence and contact with Tibet. After Altan Khan made peace with the Ming dynasty in 1571, he invited the third hierarch of the Gelug—Sönam Gyatso (1543–1588)—to meet him in Amdo (modern Qinghai) in 1578, where he accidentally bestowed him and his two predecessors with the title of Dalai Lama—"Ocean Teacher". The full title was "Dalai Lama Vajradhara", "Vajradhara" meaning "Holder of the Thunderbolt" in Sanskrit. Victoria Huckenpahler notes that Vajradhara is considered by Buddhists to be the primordial Buddha of limitless and all-pervasive beneficial qualities, a being that "represents the ultimate aspect of enlightenment." Goldstein writes that Sönam Gyatso also enhanced Altan Khan's standing by granting him the title "king of religion, majestic purity". Rawski writes that the Dalai Lama officially recognized Altan Khan as the "Protector of the Faith". 
Question: What is the full name of the Dalai Lama who officially recognized Altan Khan as the "Protector of the Faith"?
Output (English): Sönam Gyatso.