Paste a short response into Additional Information?

So I wrote an essay about my gender identity for Duke because they have an essay that asks to write about LGBTQ and gender identity. I was wondering if I should paste that essay into the additional info section of the common app for johns Hopkins (it is a 250-word essay). The essay talks about hardships I have faced being in the LGBTQ community and what I’ve learned/how I’ve grown from my experiences. What would AO’s think about pasting a short essay into the Additional Info section of my app? I feel like my app isn’t complete without this info.

Hello! I apologize for the late response but just wanted to let you know that three years ago, I modified one of my supplements for another school on my identity as well and ended up getting in (I saw my app and this was a reason why). Best of luck with Hopkins!

@4nia4ever Cool, thanks! I ended up doing the same with Hopkins and some other universities as well.