Can’t Use Genmoji Feature to Create Custom Group iMessage Image?

I'm loving the new in-message Genmoji tool that rolled-out as part of Apple Intelligence. Sadly, I'm not seeing how one may utilize this feature when setting a custom group message image - not seeing an option to create OR access previously created Genmojis that I can see when accessing the emoji keyboard in-message. Am I missing something OR is Genmoji not currently an option here? If the latter, will Genmoji be integrated here in a future update? Seems like low-hanging fruit!