After taking care of his problems and returning to the hotel lobby, Lex was sent to the next round. He had also taken this break period to look into how long exactly these rounds would last.
All of his plans were, more or less coming together, but there was a catch. The longer he took to execute his plan, the more variables that came in, which meant there was a greater chance of something going wrong.
In fact, Roland had already passed him certain news about bank Versalis which made the situation slightly complicated. He did not know the exact relationship between the Henali and the bank, but apparently the bank had sent someone over to mend the situation with the A.I.
Obviously that had nothing to do with Lex, but it had much to do with the Fuegan, who were closely connected to the very people he was targeting.