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Inside the head you have all facial features as symbols, each on its own layer.
You move them in relation to the head oval in a way that simulates parallactic displacement and three-dimensionality.
You combine this with subtle rotation of the whole head symbol on the outside so that it looks organic.
Try with something simple first.
Here is a small animation test that I've done, employing this technique:

It works and is very easy to do.
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