If you didn’t put it, and they say your application is complete, WHY for the love of all things on this Earth would you rock the boat?
Why?
I know PLENTY of Asians who got into great schools, and some who were rejected. Not one whined about being Asian and therefore that is the ONLY reason they were rejected.
Some folks post things like “I KNOW FOR A FACT THAT ONLY 13 INDIANS WERE ACCEPTED BY HARVARD LAST YEAR!!!”. Like they are “in” with the adcom of Harvard and the adcom of Harvard would actually not only keep that stat but someone would tell a random stranger / distant relative.
Don’t do anything unless you are asked to do it. They will email you, if they haven’t yet, to confirm your application is complete.