I want to know the answer to the following question:
Which battle left parts of Tibet under Chinese rule?
All the background I'm provided with is that "The bulk of western and central Tibet (Ü-Tsang) was often at least nominally unified under a series of Tibetan governments in Lhasa, Shigatse, or nearby locations; these governments were at various times under Mongol and Chinese overlordship.". Is that enough to answer the question?
Answer: no