If the problem is a burr at the back of the chamber caused by dry firing, then the problem is in the gun allowing the firing pin to go forward far enough to contact the edge of the chamber. That should not happen in a modern revolver.
A burr like that can be swaged out (preferred) or just filed off. If it is small, filing carefully with a half round file should work.
The real solution would be to return the gun to the factory or an authorized service center to have a new cylinder installed and the excess firing pin protrusion fixed. Contact Taurus and see what they say.
If a burr is not causing the problem, the chambers may be dirty or rough. Again, you can try the factoy rep, or use a slotted cleaning rod and some crocus cloth to smooth out the chambers.