Oh. That makes sense, actually.

"Bars and open places," Yuya nods fervently, looking a little more determined as he clenches his fist. "I'll go look now! If I use the mirrors, I can move around faster."

He wandered through so much of the city after all, if he focuses he can probably remember where he saw mirrors and bars. He bounces around Strange, putting his hands to the mirror and he concentrates on remembering any mirrors or fountains to take him immediately into the city.