You aren't listening to any commentors. I highly doubt any judge will give you full custody when they hear you cheated on your wife when she had a baby and then gave her a STI while she is pregnant. Congrats on the future irreparable relationship with your daughter. May she have a good life with your wife and future sibling.

People still split custody in ways if they live in separate countries. Heck you could even have her over summers/holidays. Your wife has a better bond with her per your post and you want to take your daughter away from her. At this point it sounds like you are just trying to be spiteful to your wife. Your daughter will most likely walk away from you. Honestly it's not upto you about what the environment will be better or not that's your wife's home country and she should know if it's safe or not or suitable for a toddler to live.

Look. Money DOES NOT mean anyone would have a good life. They need love and care and to be brought up correctly. And that includes leading by example. Heck even if your daughter hears about it when she is a teen or younger you're gonna be in a world of trouble. Go for split custody at the very best (which you still dont deserve).

Look. If you end up getting full custody of your daughter (which you definitely don't deserve) odds are when she grows up she will resent the fact you cheated on her mom amd gave her a STI while pregnant and still insisted on taking full custody.

Get people to meditate a custody agreement or something if you won't do the kind thing and let your wife take her. You gave your pregnant wife a STI and still think that your daughter would have a better life with you. I'm sorry but no.