The needle biopsy is usually done with local anesthesia. The procedure is done without putting you to sleep, the anesthesia does not eliminate all sensory perceptions, you would likely feel movement - but the pain shouldn't be there.
The wedge resection involves removing affected segments of lung. This is an operation and you would be put to sleep, there would of course be sufficient anesthesia. The incidence of chronic pain after the procedure would depend on the location of the area and the extent removed.
Discuss your concerns with your doctor. WIthout the biopsy results, it may be premature to discuss specifics of the operation. I'm not sure whether you are seeing a surgeon now or a pulmonologist/lung specialist - the surgeon would better explain the details to you.
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