Unmei no Noroware Ouji to, Mahou Gakkou de Futatabi Koi ni Ochiru

Sophia once swore a childhood vow with a prince whose true identity she only discovered when he was already out of reach. Now, she's determined to win a place at the magic school—the one way to see him again and finally face her unresolved feelings, even if it means becoming the top student to get there.