What is the role of hope in life?

Chapter 13: October 1944
As winter, the season of pain, nears, Primo Levi says that if he knew he would stay for another winter, “and that even now we would go [touch the electric wire-fence], were it not for this last senseless crazy residue of unavoidable hope.
Is hope beneficial? Usually we think hope is being optimistic, and we believe optimism is much better than pessimism, because it gives us a reason and motivation to live. However, should Levi have hope, or is it best not to hope at all? He says in one of the previous chapters that hope is one of the worst things one could have in the camps, because situations do not turn out as one wants them. Not expecting anything would not disappoint a person when he does not hope at all. In this way, hope is rather harmful. However, would Primo Levi have survived if he did not have any hope? According to the quote above, he would have killed himself if not for the “last senseless crazy residue of unavoidable hope.” Essentially, he survived because of the last bit of hope he had, whereas he said himself that hope is not a quality to have in the camps. We can see a clear irony in this contradiction Levi makes in his words. In sum, hope was beneficial to Levi because he was able to survive the camps (assuming that surviving was a good thing for him).
In the movie The Matrix Reloaded, one of the characters said that “hope is the quintessential human delusion, yet the source of a human’s greatest strength.” I believe that hope is in fact what motivates much of our actions, not in rare situations but in our daily lives. Students study because they hope that the education received will allow them to become successful later in life. Countries fought in the past in wars with hope that each of them will become more powerful than the other. Presidential candidates hope to become elected. While much of what is expected from hope may not become reality, hope is what motivates us and provides the will to live.