Adobe Dimension is a quick and easy 3D toolset, which doesn't really encourage looking under the hood a lot - but from my other 3D experience, I'd say it doesn't allow images to span UV islands, and the areas your're spanning are on differing UV islands.
If you're stuck in this toolset, the answer is a simple one: place create multiple versions of your ...
Drawing it in 2D is a solution, but one must have learned basic drawing skills to get it right with no reference. If it must be done in Illustrator or other 2D vector drawing program you can make a reference in a 3D program and draw a simple enough copy.
Of course it would be ideal if the rendered 3D model could be imported to Illustrator and completed to a ...
I would agree with both Jooja and Vincent that the "3D Tools" in Illustrator scarcely deserve that nomenclature, and any decent 3D DCC (Digital Content Creation) is a far better bet for this task. Illustrator's "3D" tools are a fake, plain and simple.
That said, it's not impossible - merely annoying, clunky and cludgey, and vastly inaccurate.
That said - ...
Probably one option is using blender directly.
Motion capture info
Position and skeleton
Render, green screen or even composite a 3D environment or doing camera tracking
Realtime rendering, Not as powerful as a gaming engine, but pretty interesting.
Open source, so you could tweek some things if you need or can.
For the models you could ...