First, one fact needed to be clear: there was absolutely no need for Gao Guang to follow Leaf to the hotel.
Leaf could handle everything alone; insisting that Gao Guang come along was solely because Leaf worried that Gao Guang might run away, and also because there was fear of Gao Guang being recognized—thus, Leaf demanded that Gao Guang wear makeup.
In plain terms, Gao Guang's female disguise was completely due to a lack of mutual trust; it was actually unnecessary.
Moreover, Gao Guang had no idea how visiting the hotel would allow him to meet Zoge.
When Gao Guang met Zoge for the first time, it was Zoge who had taken the initiative to seek him out, and at that time Zoge and his protectors were living in the suburbs—Gao Guang conveniently eliminated all of Zoge's people.
Although the process was slightly difficult, causing a few deaths in the Knight Mercenary Group, it was true that living far from the downtown area did make it convenient to make a move.