Article: Between 1346 and 1354, Tai Situ Changchub Gyaltsen toppled the Sakya and founded the Phagmodrupa Dynasty. The following 80 years saw the founding of the Gelug school (also known as Yellow Hats) by the disciples of Je Tsongkhapa, and the founding of the important Ganden, Drepung and Sera monasteries near Lhasa. However, internal strife within the dynasty and the strong localism of the various fiefs and political-religious factions led to a long series of internal conflicts. The minister family Rinpungpa, based in Tsang (West Central Tibet), dominated politics after 1435. In 1565 they were overthrown by the Tsangpa Dynasty of Shigatse which expanded its power in different directions of Tibet in the following decades and favoured the Karma Kagyu sect.

Question: What sect did the Tsangpa Dynasty of Shigatse favor?
Karma Kagyu