Wait really? Do you have a source for this, I'd love to learn more.
The issue you brought up about the mite is a bit orthogonal to this point. I can give you that the ant was concerned about the possibility of having a mite, and the point still remains that the ant thought it was on its own head only on basis of a reflected image of itself. (Compare to the alternative behavior: the ant tries to get the mite off the reflected image, never making any attempt to remove it from itself.)
it’s on wikipedia, with the same dead source https://en.wikipedia.org/wiki/Mirror_test?wprov=sfti1
EDIT: Working link to the paper (in some journal of science): https://www.udocz.com/read/are-ants-capable-of-self-recognit...
http://difusion.ulb.ac.be/vufind/Record/ULB-DIPOT:oai:dipot....