Why? Having a nemesis and a set goal makes things easier to achieve than something as broad as "being the best in the world"
What would that even entail?
Being the strongest ever? That wouldn't fit with Jeannie's personality since she's lazy, and wasting all her time on trying to better other people all the time would seem pointless.
Her goal is to destroy him because he humiliated her and temporally off'd undine which she really cared about.
Plus, he's already the renown genius of their generation. What more do you want?
Why would she want that she just wants to get revenge for undine
if you are trying to beat the genius of the century setting your goal to just not fall behind is a bit low he takes 2 steps mc takes 1 and he takes 2 and mc takes 1 so that means she will forever be behind him if thats her goal no offense just saying what I think lol
if she wants to beat him then that means she has to be the best in the world
she shoulda made her goal to be the best in the world or atleast bigger than not faling behind the guy