No one knows the date of the flood, dum dum. But assuming you are correct, the timeline works because the migration happened after the flood.
In 1700 BC. Noah's flood dates to 2900 BC.
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The Chinese Bronze Age had begun by 1700 B.C. in the kingdom of the Shang dynasty along the banks of the Yellow River in northern China. At times the Shang kings ruled even larger areas. Contrary to common notions about the Chinese, the Bronze Age Chinese did not drink tea or eat rice.
The Great Bronze Age of China | Asia for Educators ...