Dry socket occur after 5 months of Ext?

I have severe lower jaw pain under ear for 3 years now.Taken my and CT of TMJ, neck.Went to dentist for jaw pain in 2020&they found #46 molar hurts for tapping,biting on it.But no pain on that tooth before going to dentist.Had CBCT scans&nothing found.They did RCT to see if it helps.No relief. Same jaw pain and same pressure pain on 46.Had several retreatments on it. It was hurting for any little pressure on it.So extracted the tooth in July 2022. They also suspect this tooth could be causing my jaw pain. But same pain even after ext.I told Dr my pain remains same in jaw. He said it could be dry socket(on day 3 after ext). But my hole wasn't empty&no food debris seen.Took the stitches out.Same pain and they recleaned it few visits. There's white hard bump tiny spot on gums one month after ext. Not sure if I need to get second opinion on it. It's still present.Dr told to leave it. Is it ok to leave it like this? It's so sharp & hurts if I touch it. Is dry socket happen after 5 months?