What is Princess Kurama's daily life like outside of her research ?

Anime of 2022 - Episode 04 of Season 02 (27)

As I mentioned regarding Oyuki's attraction to Ataru, I'm certainly dwelling too much on unnecessary details in a manga/anime that's primarily comedic and lighthearted, but I do appreciate a somewhat coherent world. And in this case, does anyone have any idea what Kurama might be doing besides searching for the ideal man to ensure his bloodline's continuation ?