
The summary is wrong.
This is about a mistreated count's daughter who finds the emperor's missing son. She then becomes basically his nanny. The guy in the cover is the archduke who is the emperor's brother. They are flirting with eachother while the kid adapts to the palace and royal conflicts happens.

I feel like the story has lost the plot of them having a contract to have a baby??? Like are you not going to bring that up??? This feels like a friends with benefits gone wrong, which it is, but was the whole point not to to have a baby??? Is there not like a break in contract? Chaewoo got money to have a baby. Does he not have fullfill that???

I'm going to laugh when Chaewoo acts surprised that he is pregnant because I feel like at this point they both forgot they were trying to make a baby. The plot being rut partners and Chaewoo getting payed for that would have worked the same. Then he develops feelings for Euigeon, confesses breaks things off and what not. The series of events could have come to the same conclusion that the story is at. When they did it that last time and Euigeon knotted Chaewoo could have gotten a suprise pregancy from that after they were apart. The whole needing to have a baby young was really random to begin with. Like Euigeon's parents hardly even took care of their son, why are they forcing him to have a random baby. Are they going to take care of it? They barely took care of their son.

I have read alot of omegaverse manwha and some western novels but have never heard of a gamma being a thing. Well, I have for werewolf novels but they are not the same as the omegaverse. Is this in the book?? I dont remember in mentioned in the other manwha. Is this just a mistranslation???

No, and actually the gammas were mentioned at the beginning of the manhwa, when they replaced the original security that needed vacation, that consisted of gammas. In KML Keith Pittman bodyguards are also gammas.
I posteted that for another comment:
In the author's world gammas are the secondary gender that is the least affected by pheromones. They often work as bodyguards for extreme alphas, because the chances to mutate them is very low. That doesn't mean it's impossible, but they have to be under the influence of a lot of pheromones for a long time and the chances they survive is low. Also their health is affected, they will become weak, can't walk anymote and their lifespan shortens. If they give birth to a child it will only get worse.
Gammas are rare.
Ashley Dawson, who gave birth to Chase's father was a gamma who was mutated to an omega. Novel title is "Eat me up if you can".
I think thr brother was adpted and she is the real daughter. Her and the mom have the same eye color.