so what if he throw the baby away he might regret it but it's not like he wanted this to happen
Well then it would give everyone justification to hate Hyesung. He would be no better than those mothers and fathers from other stories who irresponsibly have a kid and then don't take care of them or use their children as a cash cow. Hyesung is already doing that, going down the route of the Mother from "My Starry Sky". A self-hating route that only ends with him raising a kid with just as bad problems, while milking payments from the father. Maybe attempted suicide along the way if things get bad enough.
Just because Hyesung didn't want this to happen doesn't mean he is allowed 100% no-responsibility. There were plenty of opportunities for him to put his foot down and leave, and yet he didn't.
I understand that Hyesung wants to live a free and independent life, unencumbered by things like heat, alphas, and debt. He just wanted to earn his own money, and got pregnant instead. But seriously? The alpha who got him pregnant is going out of his way to be kind and responsible for the child, and Hyesung is being in angry denial of his situation (despite writing an extortion contract using the child as an excuse).
For goodness sake, I swear if whatever Hyesung does that will harm the innocent child. And that includes dumping the child after giving birth and running off.