Lost Fic: Kirk/Spock adopt-a-vulcan

[cait-c-revival.livejournal.com]

Hey hi hello. Looking for a family/kidfic I read at some point in the past 6 months and lost. I've been through most of the kidfic tag on AO3 and there's no sign of it. The fic I'm looking for had a Vulcan or mostly Vulcan very young child (possibly Spock's by birth but maybe not). They key scene I remember was a parental bond forming between Kirk and the child, with the help of Spock. Possibly because Spock was already bonded to the child and therefore the child's sa-mekh, after this the kid called Kirk ko-mekh, because the new bond with Kirk had taken the place of the severed bond with the kid's birth mother. When Kirk found out the translation of Ko-Mekh, he was pretty embarrassed, but it all resolved itself quite happily. It was a very cute little scene, and I think it was part of a larger story, but don't quote me on that.

If nobody can find this, I'll also take any other recommendations where Kirk and Spock adopt a Vulcan kid, as it is my absolute favorite trope and I've read most of the really well-known ones on AO3.

Thanks for any help!