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So I experienced this from the point of view of the person being told recently in almost the exact situation you described:
“X goes by Y and uses she/her now”
“Cool! Ask her what snacks she wants”
arrive with snacks
“Hey Y! How’s it going?”
Kor: Curzon, my beloved old friend!
Dax: I’m Jadzia now!
Kor: Jadzia, my beloved old friend!
The teachings of Kahless show us that each warrior cuts their own path to Glory.
You’re definitely overthinking this, it’s totally fine to refer to her as her deadname to people who don’t know and then just tell them her new name
Same way as you’d talk about a friend from elementary school who used to be called Bobby or Davey and they go by Bob or David now.