It is a hefty tome, is it not? I promise you, a grimoire's weight becomes a comforting anchor amidst the shifting seas of battle─a fact you will soon discover.
In lower La Noscea, you will find, among others, three species of pest: wharf rats, little ladybugs, and aureliae. I ask that you employ your fledgling skill in arcanima to eradicate three of each type of creature.
Leave the city through the Tempest Gate, and you will soon encounter the potential targets in abundance. As long as you remain focused, I do not foresee these opponents causing you or your budding abilities undue difficulty.
Once you return from completing this preliminary trial, I will welcome you as an official member of the Arcanists' Guild. May your judgment remain swift and clear.