She had reached peak archmage rank because of his help after all, the premium items and training resources he provided had accelerated her development beyond what she had ever hoped she could reach.
As the princess of the lelin clan, and an enemy to the crown of the demon kingdom, with no followers, she had struggled a lot from a young age to reach the master rank, then she committed a fatal error of attacking Prince Malphas, who had bought a very powerful item from Noah's shop, making him save time until backup arrived, when she was about to die, Noah saved her.
So in her eyes, Noah was her only family in this world.
Lola possessed enough self-awareness to recognise that Noah's current trajectory pointed toward heights she could barely comprehend. She knew that it was only a matter of time before he exceeded her power completely and reached ranks she had never heard of and might never reach herself, regardless of how much effort she invested in her own training.
