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the wheel geometry is just too unstable
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At the limit, a nose-heavy four wheel car wants to become a three-wheeler anyway.
With 66/33 weight distribution and the suspension sorted out, the rear wheel should swing out and track behind the outside front wheel. A longer wheelbase helps, but creates problems parking, that why I suggested the variable wheelbase. I don't expect you to try it, it's just a thought experiment.
The biggest problem I see is the lower rear corner of the door window glass when it is rolled down into the door. That is the constraint on plan taper in the lower body.