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The specialist you need to see is an endodontist
This is a dentist who received 2 additional years of training to work with the dental pulp.
Now, having a root canal is one of the more common procedures, but they also do surgery, cracked teeth etc.
The reason you have a toothache despite antibiotics is because the dental pulp is infected and the antibiotics cannot treat this without an endodontic procedure
The endodontist will determine if they can salvage the tooth or if you need further treatment
I hope that this answered your question.
please leave positive feedback if it did :-)