Anyone else have a relentless child?

My daughter is over 2 and we are trying to break her binky habit but she is so relentless! We sat in her room with her, read her stories, sang songs, rocked her, patted her back and she is still not asleep! It’s been over an hour. She is still crying for her binky… her dentist told us today it was time to get rid of it because it’s starting to impact her front teeth and much longer it could permanently damage how her mouth forms. She is not crying it out she is not sleeping. She is just crying for the binky.

Does anyone have any tips?! We can not keep this up!!!!