@ohmymy, IMO, I would not submit a re-edited published paper or an unpublished research paper. Iirc, DS included the title of his IB Extended Essay somewhere, but not an abstract or even less, the whole paper.
I might be mistaken, but you don’t sound convinced that it’s impressive, so I’d let it go. Sometimes, less is more.
Yale is clear on what an acceptable additional LoR is.
Take this advice in the spirit in which it’s offered, but remember that I haven’t read any of your papers, don’t know your professor, etc.
Good luck.