I think there's really not any more action you can take. I think if you try to escalate this in pretty much any way, you will come out looking like the Becky, or worse, the Karen. She wants to get a reaction out of you, so don't give it to her.

This sounds like advice given by a teenager. In the real world employment law doesn't care about people "coming across as Beckies or Karens." By law a person has a right not to be exposed to a hostile world environment in most jurisdictions. It is the responsibility of the employer to ensure that the kind of harassment OP describes stops. OP should contact her employer with a reasonable request for her to force the unprofessional employee from ceasing to harass OP.