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I was wondering where I can fit in a diversity statement for schools that don't have a specific attachment option for one. I don't have any room in my PS for most schools to include this diversity because my PS utilizes an unrelated story that I feel is, overall, a better topic than my diversity. Could I include this in an addendum or do schools frown upon that?

Retake.

Most schools say "you may submit any additional materials you like." In fact many actually allow people to submit a DS if you read their app close enough.