Yes, Ezra spotted a Mandalorian in the distance entering a cafe and decided he needed to follow them. No, it probably wasn't a good idea, but this is Ezra. Maybe he should try and be more careful, considering he doesn't have a lightsaber and his connection to the Force is significantly weakened. But again, this is Ezra.

He opens the door... and is immediately distracted by the Child. He's about to coo over him when the Mandalorian he's followed pops up from the bar. Well, so far so good, since no one's shot at him yet.

"Uh, yeah. Meiloorun juice, if you've got it. On the rocks."