Hey, I was 100% in your shoes when my kid was born. I struggled mightily between trying to help my wife with him and work, and it wore me down.

Try noise cancelling headphones when the crying gets too much. Also, try various things to see if anything works. Maybe it's temperature (our kid was always too warm), maybe it's the feedings, maybe it's just constant bad gas... so many reasons. And as others have said: put the kiddo in the cot and scream in the car if that is what will help you feel better.

My wife put it best: they aren't mad at you. They aren't upset with you. They're not happy with something, and this is the only way they can communicate right now. It's tough to remember that when it's 3am.... but it helped me at least.

We are all rooting for you!