Layton stood in front of a spacious courtyard where a huge dojo style building was erected, he had been sent here through the teleportation system of school city by Isaac apparently he had some important things to attend to and was unable to continue showing Layton around, Before Isaac left he had inquired using his status as a council member as to whether the other members of Layton's team were present in the city.
Layton was aware that the team members he was referring to were zero and Lilith, since plane erosion was a dangerous activity, it was mostly never done alone, so the members who underwent the test with him would be his team members for a long period of time. According to Isaac, zero was in the courtyard right in front of him, he wasn't sure how she would react to his intrusion but Layton was currently still had a lot of questions about the city and he figured since they were going to be on more dangerous missions it was vital to at least cultivate a good relationship.