Yes, both.
As you may have read in an earlier post the doctors now believe there is a continuum along which trigeminal neuralgia and atypical facial pain fall.
It is possible to have bilateral trigeminal neuralgia so unfortunately you could have it, if that is dx, on both sides.
Tegretol used to be, I believe it still is but am not sure and I am not a medical person, the first drug tried. If it worked it was considered diagnostic for Tn, but if it didnt it did not rule it out.
There are many drugs and treatments now available to treat tn so you can have hope that if it is tn and one drug or treatment does not work, there are many others to try.