Lex listed a few of his ideas out to the system to see how it reacted. He had many more items on the list, but he needed to go priority wise. For example, he was also curious as to how exactly the Inn ensured any external worker he hired would stay loyal?
Even if he didn't count the fact that Zagan could wake up at any moment and possibly resume its monster lifestyle, he expected in the future he would get the opportunity to hire many talented workers, not all of whom can be replaced by the workers that Lex hires through the system.
He still had a bounty on the head of that Kraven who attacked the Midnight tavern, and whoever killed him would no doubt be extremely powerful as well as ambitious. Lex had no problem with his workers being ambitious so long as they didn't turn it against the Inn.
The system did not respond immediately. It glowed and hummed and buzzed, no doubt processing his request and trying to figure out the best possible outcome.