Spoiler Answer for Anyone interested
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So technically yes, because Andrim and Jorga won the bet on which beast would live and mate, the "pups" born from the mates would go to Jorga. However, Andrim and Jorga make a deal with the circus master to take care of all the "pups" in exchange for making sure Nasha's kid never learns the truth or returns to the capital. Andrim also mentions that they will pay to ensure the child is taken care of and won't suffer more hardship. The servants are sworn into silence and they publicly announce the baby was a stillborn, sneaking the child out with the circus master. They don't mention what happens to the child after however.

I just hope the baby doesn't suffer, Even if it was still a child from that horrible person. The baby doesn't deserve resentment