Unfortunately you need the two (actually 4 extra eyes) for the two eyes to work. If they are missing then there is visual noise. It is kind of a tradeoff.
The attached has only two eyes but when you view it as a stereogram you get three eyes and a feeling that something is not right about the image.
Normally, I would not do a stereogram like this for this reason.
OTOH I think I did a splendid job recreating the eyes.
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