Lex had an answer in mind. Even before he genuinely began his deliberation, he had an answer in mind. But due to his history of walking himself into terrible, horrible situations he had no business being in, Lex was trying to be more of a strategist.
He would think his decisions through. He would analyze the pros and cons. He would make an informed decision.
So far, it was working out for him. He would still get into a terrible mess, but the blame for that was less and less his own fault, and mostly just the universe messing with him.
Ultimately, he came to the conclusion that no matter what he chose, he would not be able to fix all issues. He could only do what was best.
Yet, not that Lex believed in jinxing things, he decided to just casually delay the decision until he went to his room, took a thorough shower, put on his best clothes, sprayed some cologne, and calmed all his thoughts.