Submit SAT or ACT?

Without going through your past posts to see what colleges you are targeting (I remember Yale without looking), I would say no.

For a couple of reasons:
1/ Not all colleges superscore ACT, so you might not get the benefit if you score higher, but with a lower essay.
2/ The number of colleges requiring SAT with essay or ACT with essay is dwindling. Sure, they’ll still consider it, but the essay score is a really small part of the application, and they’d rather see your writing through the Common App essays.

If you really want them to see your 12, which is great, send it in.