Conscious experiences have "parts", but not in the sense of spatial parts. Therefore consciousness cannot be directly identified with any complex entity built up out of aggregation of parts in space.

I'm afraid it's too unclear how the conclusion is supposed to follow from the premise(s?) to determine exactly what fallacy you're committing here. But it reeks of the fallacy of division.

ETA: Maybe it could be clearer if you made your argument symbolically in some formal logic? And if you can't do anything like that, reconsider using the word "Therefore".