Thanks for injecting some common sense / reality check into this
I agree with you, from the keyboard any suggestion is just a WAG. :)
if you feel comfortable doing it....you COULD label each conductor &
determine its path / connection. More easily with a helper.
per RBM's comment three ways need a continuous neutral & a couple of
travelers.....I'm not sure what you've got & its pretty close to
impossible to unscramble it from here.
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