I have the same problem. You know I have tried 3 different types of noise canceling headphones and you and still hear the conversations. The other problem is when it's a particularly hard problem, I need no music to be playing.

I just don't go into the office at all anymore. I stay home and I just outperform people's expectations and that allowed me to negotiate to stay at home.

Open office spaces just do not allow me to get that deep focus to solve the challenging problems, also the constant tapping on the shoulders and the quick "How's it going" conversations take me out of flow. I don't think businesses understand how annoying the random noise is too introverted engineers. It's more productive for salespeople and PMs but I doubt it increases engineers ability to get features built. I think it severely hinders them.