Misumi Mikoto was eager to complete the test set by Chen Yu, which was the creation of a Space Ring. She wanted to prove her capability to construct her own Necromantic Space.
Having visited Chen Yu's Necromantic Space, with its castles and beach, Misumi Mikoto was extremely envious. To her, it was a dreamy place for any girl.
When she first visited Chen Yu's Necromantic Space and saw the huge castle, Misumi Mikoto felt envious. Now that she had the chance to have her own Necromantic Space, and build her castle and garden, she naturally took the project to heart.
Moreover, after owning her own Necromantic Space, she wouldn't have to sneak around at home to conduct her research. She could openly carry on with her spell studies and attempt to create various Undead Servants.
Misumi Mikoto was genuinely interested in making Undead Servants, a common practice among Necromancers, but lacked an appropriate place at home to do so.