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If I understood you right, this is just a matter of you assigning a Generated filename character to another game character(Event, Player or follower). You can do this already. On the sample project, there is an example for doing this:

You just need to use the event id 2 (Open Generator) to create the Generated Characters Char1 and Char2. Then go to the event id 3 and you will be able to assign the same Generated character for two different game characters, in this example, Player and Event Id 2.

(+1)

Thanks a bunch for the reply! Apparently, I somehow missed the notification you had replied until just today. O.o Sorry about that.
But yeah! Thanks! Looks like that would be what I need. I'll have to test it out some time.