How did Vietnam become part of the Ming Dynasty during the Yongle period of the Ming Dynasty?

In 1400, Hu Jiyou, a powerful official of the Chen Dynasty, usurped the throne, established the Hu Dynasty, and changed the country's name to "Dayu". Soon after, he proclaimed himself the Supreme Emperor, and his son Hu Hancang became the emperor. In the eighth month of the lunar calendar in 1404, Pei Boxi, the surviving minister of the Chen Dynasty, came to the Ming court and accused Hu Jiyou and his son of "killing the lord and usurping the throne and massacring loyal ministers", and asked the Ming Dynasty to send troops to "capture this thief, eliminate the treacherous villains, and restore the throne." On Dingyou day in August, there was a man who claimed to be a descendant of the Chen family, named Chen Tianping (Vietnamese historical records are written as "Chen Tianping", and the "Historical Records of Dai Viet" stated that his identity was "Nguyen Kang, a slave of Chen Yuanhui's family") , who entered the Ming Dynasty from Laos, also told Emperor Ming about the Hu family's usurpation of the throne and demanded the restoration of the Chen family's rule.

The Hu Dynasty admitted responsibility and asked to "welcome him back to Tianping", but when the Ming Dynasty actually sent people to send him back to Taiping, they attacked him secretly and killed him.

In anger, Zhu Di sent troops to destroy the Hu Dynasty. Since there were no descendants of the Chen family, Zhu Di occupied Vietnam himself