Just looked at the original file and found out that I simply named this game Project Summon.
For 2 reasons if I recall, first off because of how magic works in the lore of the game's world and second off because I was inspired by one other game at the time, Summon Night Swordcraft Story 2! Between that and Megaman Battle Network I guess I was (and am) super nastolgic for Game Boy Advance JRPG's!
Oh were you expecting an actual name for this game? Never came up with one, sorry :/