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Hello this is Dr. Salama,
It sounds like you did in fact pinch a nerve due to the tightness of the bra.
I would recommend icing the area for 20 min every hour for 5 hours/day x 1 week.
Take Motrin 400mg by mouth 3x/day as needed for the pain and to relieve the inflammation
If the burning sensation does not resolve in 2 weeks you may need to consider a consultation with a neurologist
Let me know if you have any other questions. If not, please don't forget to leave a positive rating as that's the only way I get credit for answering your question. Thank you.
Is there anything else I can help you with?