To the best of my knowledge, The Tower of Bats is an entirely optional step in the journey of completing the main questline in Conan Exiles, designed to be more of a side activity to guide new players. The Awakened Staff of the Triumvirate isn't required to craft the Keystone. It's also not needed to access any of the dungeons or areas where components of the Keystone are acquired. If you're not interested in pursuing the main quest, then you never need to visit The Tower of Bats. You may still want to go there for the Specialist Cooking VIII feat, The Fragment of Power, or the Legendary Weapon/Armor Repair Kit.