The mod that you want to work nicely with Extended Dialogue Interface.
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Found an original fix located here: https://www.nexusmods.com/fallout4/mods/30090 which originally shown how to replace the DialogueMenu.swf from XDI with that of the Vault Girl Mod and then saw a patch made by krypto5863 which was a fix only for the alternative version of the Vault Girl which lead to picking the other two choices either causes an installation error (because it can't install nothing), or you would have to stick with the "Alt" version... even if you didn't pick that choice for your Vault Girl.
I've gone scrounging about to find a way to at least get it to work for all 3 heads and came up with this.
Was going to do it in the same format as krypto5863 with a the Fomod Installer, but I'm just going to blame my horrible English on not understanding a clue on how to use that program.