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It certainly is cute and I like it better than Duke of Death, since there does not seem to be any teasing and the thought pattern of the MC does make sense for a person with depression (I am not exactly buying him being a pessimist yet, though).
I have 2 main problems with the plot, though:
- What exactly is wrong with his arm? Why does that make him inferior to everyone, especially if he is son of nobility of some sort? I mean, he did not lose the arm (clearly) and even if it's broken, I think they already knew in this period, that bones can mend. And even if it lose some mobility - it will still be useful. Unless he had nerve damage, but does not look like that. Even if he lost it completely - it would have been possible to adapt still. Maybe they are using this as enforcement of his "pessimism"?
- The girl is too nonchalant in the situation. I mean, yes, she is young, so there would be some naivete, that's fine, but she is too calm. Too positive. Considering the time and the fact she was sold off... Is he a psychopath or something?
I will give the 2nd episode a whirl, but if these are not somehow addressed there (at least partially), that will increase my chances of dropping it. It's ok to not fully cover these points in the 1st episode to save time, but they need to be covered in order to develop the characters in this situation. Otherwise this is all just a premise "for the heck of it".