Why is Achilles' hubris causing his downfall?

Achilles' hubris, or excessive pride, leads him to prioritize personal honor over the collective needs of his fellow Greeks during the Trojan War. His refusal to fight after being insulted by Agamemnon demonstrates his inability to compromise, ultimately resulting in significant losses for his side. This arrogance blinds him to the consequences of his actions, culminating in the tragic death of his close friend Patroclus and Achilles' own fate. Thus, his hubris not only isolates him but also triggers a chain of events that contribute to his downfall.