Question about episode 5

After being selected as the princess, Takagi challenged Nishikata to a game, saying he would win if he was selected as the prince.

What do you think is the purpose of that challenge?...to make him nervous? But for what purpose? Because she actually wanted him to be the prince or because she didn’t??

I mean, if she wanted him to be the prince, why would she be making him more anxious?

On the other hand, if she didn’t want him to be the prince, why?