I wish I had a happy "one month birthday!" post
You do. You have a living, healthy, happy baby after 1 month of suffering.

Abandon breastfeeding. Abandon pumping. Enjoy your baby and motherhood.
Your exhaustion and misery come through in your tone. I feel for you. It's a horrible time. You have done what you can, for the best reasons. Continuing at this point would be for bad reasons, I feel. This looks like advice. I abhor advice. Do what you want to do :) but (advice!) don't get hung up on this issue. Move on.

Thinking of you, feeling for you.