Get a replacement PCV valve ($15), drill it out from behind so it is just an open nipple, put a breather on it, cap off any open hoses and see if the problem goes away. If it does, you have a crankcase ventilation issue and you can reference multiple threads on how best to address. You may continue to see smoke for a few miles as oil in the intake system works its way through.
What does it mean if it made the oil burning issue worse?
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