Hi everyone,
I am writing this because I am completely at my limit, numb, and genuinely hating my wife's guts right now. I feel totally used in this relationship. I need real, grounded perspective on the legal reality of my situation because I am entirely alone here.
To give you some background, I am not originally from the USA. I moved here three years ago, leaving behind a very good, successful career so my wife could finish her studies. Since being here, I haven’t made friends or built a network because all I do is stay home to take care of our two very young children: a 3-year-old and a 9-month-old. I do all the cooking, the cleaning, and the laundry. I handle everything in the house and always tell her not to worry about a thing so she can just concentrate on her studies and work. I treated her like a queen, giving up my own independence to support her dreams.
Recently, I found out through her AI that she was actively fantasizing about real men she works with. When I confronted her, she admitted she was "eye fucking" them at work. She literally confessed that the only reason nothing physical happened was because the men never made the first move. If they had shown any interest at all, I know for a fact she would already be sleeping with them. During that confrontation, she tried to flip the script and blame me, saying I don’t compliment her or say nice things. I reminded her that I am completely exhausted running a household and raising two babies alone, while I always give her an excuse for not being nice to me because she's busy with school. She just changed the subject and started crying.
Stupidly, I accepted her apology, cried with her, and decided to try to work on the marriage. I desperately wanted to keep this family together for our young kids. I was raised without a father, and I promised myself I would never do that to my children, whatever it takes.
That forgiveness happened exactly one week ago. I was keeping a close eye on her, and she seemed like she was trying to change. But tonight, just one week later, I caught her on TikTok. She met a guy on there and they have been texting back and forth all night long. I cannot believe my eyes. What more could I possibly have done for this woman?
I am completely done. I can't even look at her face anymore. I am not going to ask how to make a marriage work with someone like this. My only priority now is finding a way to leave that does not break my kids. I want to go back home to my country, but I don’t know how to do it with the children. I have taken screenshots of everything she has done as evidence.
I know nobody here can provide official, binding legal counsel. However, because I am completely isolated in the US and don't know the system, I need help understanding the avenues I should take or who I need to reach out to.
Legally speaking, is there anything I can do to keep primary custody of my kids and eventually return to my home country with them? How do international custody situations work when one parent has been the sole caregiver?
Thank you for reading.

Please read carefully, I’m not going to break any laws and I’m not going to run away with the kids, so stop telling me not to.