"Best of luck. And again, keep in touch if you find anything." Since Yuya's using the mirror, Strange isn't going to use it to get back to his room. Instead, he gives Yuya one last look to make certain he gets through the mirror alright, then heads back to his room to resume scrying.

Turns out that sensible Strange guessed right: reckless Strange is in the city, at one of the bars, frowning slightly as he looks down at a half-drunk glass. He's not really paying attention to anything else. He does look a bit beat up: there's a few scraps and scratches on him as well as a visibly broken nose.