What is the climax of the story of "The Scarlet Ibis"?

In "The Scarlet Ibis," the climax occurs when the disabled
Doodle is running after his brother in the rain. His brother has left him behind in a
rain storm. Trying to keep up with his brother in the rain, Doodle overexerted himself.
He dies from sheer exhaustion.

When his body falls back,
limp, the reader realizes that Doodle has died. His brother has to live with the guilt
because he caused Doodle to overexert himself. The older brother does not want to have
an invalid brother, so he pushes Doodle to exert himself beyond what Doodle is capable
of handling.

When Brother picks up Doodle's drooping head,
and Doodle's body becomes limp, Brother realizes that Doodle has died because Brother
was too proud to have an invalid brother. He was ashamed of Doodle and now that Doodle
is dead, Brother weeps.