In the end, Lyle and Adam ended up clearing the dungeon multiple times and spent about 6 hours there. They had both managed to increase their levels by 3, and were now leaving the area and going back to Linston.
It was still daytime and the sun was shining brightly above them. Lyle was fine and could continue hunting down enemies, but Adam was exhausted.
Fighting for 6 hours with barely any breaks made him physically and mentally exhausted. He wished to do nothing more than to rest at this moment. Lyle knew that and decided to get the young man back to the inn before heading out himself and clearing out some dungeons by himself.
He could simply send Adam off to go back, but he didn't want any incidents to occur so he decided to walk him back and only turned back once the gates of the city were close to them. Adam would stay in the inn while he would hunt until nighttime.
Then, he would go back to the city and grab a random criminal in order to do his experiments.