What is the tragedy of the intertwining of the destinies of the Babylonians and the Jews?

In 586 BC. The Babylonian kingdom conquered Judah, and the city of Jerusalem was also destroyed during the conquest. Despite this, the rule of the Babylonians did not last long. In the middle of the 6th century, the Persian state was gaining significant strength. Thus, already in 539-538 BC. the Babylonians themselves were conquered, and their capital was captured. What is the tragedy of the fate of these two peoples. First, the Babylonians defeated the Jewish state, and then their own state was also defeated.