In addition to physical weapons, Cassidy also can learn and use abilities aka Lucid Attacks in Dreamscaper. These abilities are magical and dream-influenced and can affect space and time in her dreams.
When Cassidy starts a dream, she has Astral Blow equipped as her first ability. You find other abilities during Cassidy's dreams. During her dream, Cassidy can have up to two abilities equipped at the same time. To expand Cassidy's abilities, you will need to unlock them by building out her relationship with NPCs.