Does Anyone Know 'the Inside Joke' behind Trinity's Alias in ''THE MATRIX: RESURRECTIONS''?

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I'm not 'spoiling' a lot when I bring up the name that they gave Trinity (when they brought her back to life before THE MATRIX:RESURRECTIONS)---Tiffany. (One possible reason for "Tiffany" https://screenrant.com/matrix-4-resurrections-trinity-tiffany-name-meaning/) Neil Patrick Harris's character says they gave her that name "as part of an inside joke." Have you heard 'what that joke is'? Why did she have the name "Trinity" anyway?