Contemplation
After the Dao Lord left, Lex remained seated for a long time. He hadn't realized it at the time, a part of his mind automatically eliminating any negative thought originating from the Dao Lord, but his body had been subjected to quite a lot of pressure while the Dao Lord was there.
It was physical pressure, like one felt when diving deep into the ocean. It pressed on him with enough force to crush a star, but the reinforcement of the sofa itself kept Lex safe. It did take a while for the actual reinforcements to fade though, so he just sat there, and thought about things.
Much of his plan had worked, and much hadn't. He knew that the Glaticus Necropolis and HOA were his leads to finding Damian and the rest, most likely, but discovering what they meant was not going to be easy.