Question: What was the establishment date of this ancient kingdom that was annexed during the Southward expansion of the Han Dynasty, and consisted of the commanderies Nanhia, Guilin, and Xiang?

Context paragraphs:
Dian Kingdom: The Dian Kingdom () was an ancient kingdom established by the Dian people, an ancient group of indigenous non-Chinese metalworking tribes that inhabited around the Dian Lake plateau of central northern Yunnan, China from the late Spring and Autumn period until the Eastern Han dynasty.  The Dian buried their dead in vertical pit graves.  The Dian language was likely one of the Tibeto-Burman languages.  The Dian were gradually displaced and assimilated into Han Chinese culture as the Han dynasty expanded towards what is now Yunnan.  The Han annexation of the Dian Kingdom in 109 BC eventually led to the establishment of the Yizhou commandery.

Han conquest of Nanyue: The Han conquest of Nanyue was a military conflict between the Han Empire and the Nanyue kingdom in modern Guangdong, Guangxi, and Northern Vietnam.  During the reign of Emperor Wu, the Han forces launched a punitive campaign against Nanyue and conquered it in 111 BC as part of the southward expansion of the Han Dynasty.

Xiao He: Xiao He (died 193 BC) was a Chinese statesman of the early Western Han dynasty.  He served Liu Bang (Emperor Gao), the founder of the Han dynasty, during the insurrection against the Qin dynasty, and fought on Liu's side in the Chu–Han Contention against Liu's rival, Xiang Yu.  After the founding of the Han dynasty, Xiao He became the chancellor and held office until his death.  For his contributions, he is also known as one of the "Three Heroes of the early Han dynasty" (漢初三傑), along with Han Xin and Zhang Liang.

Ying Bu: Ying Bu (died 195 BC), also known as Qing Bu, was a military general and vassal king who lived in the early Western Han dynasty.  He was a native of Lu County (六縣; present-day Lu'an, Anhui).  In his early life under the Qin dynasty, Ying Bu was convicted and sentenced to "qing" (黥; a form of punishment which involved branding a criminal by tattooing his face), so he was also called "Qing Bu".  He was then sent to Mount Li to perform hard labour by constructing Qin Shi Huang's mausoleum.  He later escaped with some men and became the leader of a bandit gang.  Ying Bu participated in the insurrection against the Qin dynasty after the Dazexiang Uprising broke out in 209 BC.  After the uprising failed, he became part of a rebel force led by Xiang Liang.  He assisted Xiang Liang's nephew and successor Xiang Yu in overthrowing the Qin dynasty.  After the fall of Qin, he initially fought on Xiang Yu's side in the Chu–Han Contention (206–202 BC), a power struggle for supremacy over China between Xiang Yu and Liu Bang (Emperor Gao).  However, later, he defected to Liu Bang's side and helped Liu defeat Xiang Yu and become the emperor.  During this period of time, Ying Bu held the title of "King of Jiujiang".  After Liu Bang established the Han dynasty in 202 BC, he appointed Ying Bu as a vassal king and granted him the title of "King of Huainan".  In 195 BC, Ying Bu rebelled against the Han dynasty but was defeated and killed.

Nanyue: Nanyue () or Zhuang: Namzyied , or Nam Viet (Vietnamese: "Nam Việt" ) was an ancient kingdom that covered parts of northern Vietnam and the modern Chinese provinces of Guangdong, Guangxi, and Yunnan.  Nanyue was established in 204 BC at the collapse of the Qin dynasty by Zhao Tuo, then Commander of Nanhai.  At first, it consisted of the commanderies Nanhai, Guilin, and Xiang.

Kings of the Han dynasty: After Liu Bang defeated Xiang Yu and proclaimed himself emperor of the Han dynasty, he followed the practice of Xiang Yu and enfeoffed many generals, noblemen, and imperial relatives as kings (), the same title borne by the sovereigns of the Shang and Zhou dynasties and by the rulers of the Warring States.  Each king had his own semi-autonomous kingdom.  This was a departure from the policy of the Qin dynasty, which divided China into commanderies governed by non-hereditary governors.  Also remind that, the Chinese title "wang" is sometimes translated as "prince" and later kings were called as prince.

Southward expansion of the Han dynasty: The Southward expansion of the Han dynasty were a series of Chinese military campaigns and expeditions in what is now modern Southern China and Northern Vietnam.  Military expansion to the south began under the previous Qin dynasty and continued during the Han era.  Campaigns were dispatched against the Yue tribes, leading to the annexation of Minyue by the Han in 135 BCE and 111 BCE, Nanyue in 111 BCE, and Dian in 109 BCE.

Four Commanderies of Han: The Four Commanderies of Han (Hangul: 한사군 ; Hanja: 漢四郡 ) were the Chinese colony located in northern Korean Peninsula and part of the Liaodong Peninsula.  The commanderies were set up to control the populace in the former Gojoseon area as far south as the Han River, with a core area at Lelang near present-day P'yongyang by Emperor Wu of the Han dynasty in early 2nd century BC after his conquest of Wiman Joseon.  Though disputed by North Korean scholars, Western sources generally describe the Lelang Commandery as existing within the Korean peninsula, and extend the rule of the four commanderies as far south as the Han River (Korea).  However, South Korean scholars assumed its administrative areas to Pyongan and Hwanghae region.

Chu–Han Contention: The Chu–Han Contention (206–202 BC) was an interregnum between the Qin dynasty and the Han dynasty in Chinese history.  Following the collapse of the Qin dynasty in 206 BC, Xiang Yu split the former Qin Empire into the Eighteen Kingdoms.  Two major contending powers emerged, Western Chu and Han, which engaged in a struggle for supremacy over China.  Western Chu was led by Xiang Yu, while the Han leader was Liu Bang.  Several minor kings also warred, but these were largely independent of the main conflict between Western Chu and Han.  The war ended in 202 BC with total victory for Han, with Liu Bang soon proclaiming himself first emperor of the Han dynasty.

Minyue: Minyue () was an ancient kingdom in what is now Fujian Province in southern China.  It was a contemporary of the Han dynasty, and was later annexed by the Han empire as the dynasty expanded southward.  Its inhabitants were groups of indigenous non-Chinese tribes called the Baiyue.  The kingdom survived roughly from 334 BC to 110 BC.

Supporting paragraphs: Southward expansion of the Han dynasty Nanyue
Answer: 204 BC