Opinions needed

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I'm 36wks with #3, and I've got horrible tooth pain going on. I know there's an infection in there by the way it throbs, I was a dental assistant for awhile and I know I can't take antibiotics while pregnant, especially this far along. I have an appt tmrw with my obgyn, do you think they may want to induce? The pain is awful and it's not like I can take anything to help it. Ibproufin is my saving grace for tooth pain but that's a no no to take. I've tried Tylenol and it doesn't do crap. Honestly I'm hoping to be induced, 36wks isn't scary early and I feel like my little guy would be fine. What do y'all think?