After his conversation with Liz had come to an end, Tyler didn't try to get her out of his bed as he simply left the room with Cora hurrying along behind him. Again she had wanted to open the door for him but his mind was already preoccupied with thoughts that he simply did it instinctively and walked out of the room which left a disappointed expression on her face but Tyler didn't notice.
He then decided to teleport straight to the castle's courtyard with Cora in order to avoid creating any unnecessary drama resulting from his departure.
He hopes to avoid most of his subordinates working in the castle by doing this. If he had chosen to walk down himself, then he was sure to be surrounded by a horde of his spoiled vassals who would've offered to take his place as Lix so he could remain behind.
