Should I write a coming out story as an essay?

You are both right!

One would want to describe the risk you took so that it shows what you will contribute to the school.

E.g. I risked social ostracism by creating a “welcome new students” group and totally changed the culture of my school so that it became a kinder gentler place.

They are describing a risk but letting the school know they have attributes that would be an asset to the school.

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