Alloa's personality was very similar to Link's, especially in how she could sink into the magic spell she was studying and forget all about her surroundings.
That day, they lost track of time in the enchantment room. They used Elemental Healing to replace eating.
Alloa wasn't familiar with Nana's body structure, so they didn't start directly on the modifications. Instead, she studied the information on the structure. During this time, Link read the first magic spell book that the system had rewarded him—Integration of Time and Space.
This was a book purely on spatial magic but also tied in concepts of time. Space and time involved the basic nature of the world. Even Link felt the Mana theories in the book were obscure. Thankfully, he had been deducing the spatial thesis all this time and was extremely familiar with space. After three hours, he had a general understanding of it.