If the Cloth is skinned with a FBXkey CC Base
you need to use in CC the import function Create> Cloth,Hair Acc with FBXKey
otherwise there are no other way
btw I prefer also this way, because I'm not realy happy with the skinning tools in CC
I skin my mesh in Akeytsu now, because no subscription mode.
My workflow I import my static cloth mesh, use in CC the copy skin method and export this as FBX. The FBX key will generate automatically. This is a good starting point
I load my Meshes in Akeytsu and fine-tuning the weight maps. At the end, I import all how describe above.
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liebe Grüße vidi