I don’t recommend people get divorced with young children. I recommend you give it another chance. Of course if she agrees to try

Having said that…

I had to read one part of your post two times because I wanted to make sure I understood. You took a month off after the birth of a baby and did a lot of gaming. My daughter is expecting a baby in about a month. I can’t envision my son in law spending his paternity leave doing any kind of gaming, let alone a lot of it. Why not go back to work then. Even if she said no to helping with the baby, you had to spend that month cooking grocery shopping doing laundry cleaning. Not gaming. In addition she had post partum. I can’t imagine what she felt watching you, a new father, wasting precious time off work gaming.

Not saying it’s a grounds for divorce but it sure is a huge red flag. I feel upset even reading about it. I can only imagine how she felt actually being there!

Now I do blame her for not speaking up. She kept her disappointments to herself. She had to address it right there. On the other hand what you see is what you get. No point to try changing people.. She saw what she was getting. It didn’t work for her. And now she wants out

I think couples therapy in order to coparent in a healthy manner is a great idea. Your child deserves to have two involved parents. It doesn’t mean they have to be a couple. Do talk to a lawyer though about her taking a child away. Sometimes judge would allow it but not always