The dog’s name is Russell the wife of Brian Armstrong’s NewLink cofounder Blake Byers spilled it in a wedding congratulations reply (since deleted) note that Russell is in the photo she is replying to.
Emily Hanks had a public X profile, but she has now deleted the reply and made it private. Maybe Brian told her to do so, which is bullish and validates the narrative, including the dog’s actual name.
You can still find her tweet on her Sotwe account: https://www.sotwe.com/ejhanks.
Additionally, in her reply where she mentioned “+Russell,” she wasn’t referring to her own dog but to Brian’s dog, Russell. Her dog is named Nalu, which you can verify on her Sotwe account, which remains unlocked.