Once I'm done making custom clothing for my CC3 characters in Blender and I texture them, and import them back to CC3 to have the new clothes be a custom piece that I can apply to other characters as well, my clothing is missing the texture I applied in Blender. How can I work around this so that when I import my assets back to CC3, they're all textured up.

I usually work out texturing in CC and rarely in Blender. Nothing goes through to CC from Blender FBX other than Base Color and Normal maps.