Extraction is the best treatment for you at the moment. Numbness has a higher chance because your wisdom tooth is very near to the nerve. The IOPA(xray) taken is a 2-D xray, there’s a possibility that there might be no numbness at all if the nerve is at a distance from the tooth. In any case, no effect is permanent, you will start gaining sensation in 6 months even if you experience paraesthesia immediately after the extraction.
Many doctors will do this extraction in 3-5k too, you can still explore.
Next Steps
Go for extraction
Health Tips
Do not eat from that side, can do warm saline rinses