I tried but couldn't replicate your problem (although the V3 injections have crapped out on me before). I loaded Mike, Steph, then V3 and she injected fine. Then I made a new scene, loaded the cyclorama, then V3, and again she injected okay. What I have noticed is the best (most reliable) way for me is to first select V3's head (or whatever part I'm injecting). Hit the tick in the library (rather than double-clicking). It looks like nothing happens. Then I select another of her parts (e.g. eyeball) and then re-select the head. When I do that, the morph appears in the list. Have you downloaded the service release for V3? I'm just wondering if this problem was solved by that. It's on the Daz product page for V3.

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"you are terrifying
and strange and beautiful
something not everyone knows how to love." - Warsan Shire