Haman's household names the direction of the fall

Mordecai returns to the gate; Haman covers his head

And Mordecai came again to the king's gate. But Haman hasted to his house mourning, and having his head covered. The gate has not become a throne. The parade changes Haman's day more visibly than it changes Mordecai's post.

His own house forecasts a fall before a Jew, then the banquet fetches him

And Haman told Zeresh his wife and all his friends every thing that had befallen him. Then said his wise men and Zeresh his wife unto him, If Mordecai be of the seed of the Jews, before whom thou hast begun to fall, thou shalt not prevail against him, but shalt surely fall before him. And while they were yet talking with him, came the king's chamberlains, and hasted to bring Haman unto the banquet that Esther had prepared.

The household names Jewish persistence as a force Haman cannot master. That is their reading of the turn, not a narrator's oracle and not a warrant to stereotype Jews, Persians, or counselors. Do not take their sentence as a weapon against any modern people. A banquet invitation arriving on the heels of that warning is not vindication.