See e.g. [1], so they could either funnel air into the ocean and back up for direct temperature exchange, or alternatively use the breeze generated top-to-bottom in the building to drive "active" pumps.

Or just have Olympic-sized swimming pools in the basement that you've actively pumped water into. If the pumps are out they'll have a lot of thermal inertia.

1. https://www.archdaily.com/975502/geothermal-energy-using-the...