Does Tumushuk belong to Kashgar or Aksu?

Neither of them. Tumushuk is a county-level city directly under the jurisdiction of the Xinjiang Uygur Autonomous Region.

Tumushuk City was established in September 2002 with the approval of the State Council.

Officially established on January 19, 2004, it is a county-level city directly under the jurisdiction of the autonomous region. It implements a "division-city integration" management system with the Third Division and is managed by the Xinjiang Production and Construction Corps. The total area under its jurisdiction is 8,118 square kilometers, with 1 city, 3 streets, 8 regiment towns, and 8 regiments (farms) under its jurisdiction. It is located in Kashgar and Kezhou.

Extended information:

Tumushuk City is located in the geometric center of the four prefectures in southern Xinjiang. It is an important support for the Corps' southward development. It is 223 kilometers away from Aksu City and Alar City. 249 kilometers, Artush City 279 kilometers, Kashgar City 332 kilometers, Kunyu City 533 kilometers, Hotan City 591 kilometers. Caohu Town of the 41st Regiment, Qianhai Town of the 45th Regiment, and Xing'an Town of the 54th Regiment are the three strategic fulcrums of the Corps' southward development. They are located at the center of counter-terrorism and stability maintenance in southern Xinjiang, and are the frontline and main battlefield of the Corps' counter-terrorism and stability maintenance.

Tumushuk has a pleasant climate and is a cotton, grain, and fruit production base. The city's deserts, mountains, and primitive Populus euphratica forests condense the natural scenery of the Western Regions, and are also one of the birthplaces of Daolang culture. The annual Western Regions Food Tourism Culture Festival has become an important brand of Tumushuke City's unique regional, ethnic and cultural characteristics.

Baidu Encyclopedia - Tumushuk

Official website of Tumushuk City, Third Division of Xinjiang Production and Construction Corps - Introduction to Tumushuk City, Third Division