system
Given the following post, respond as if you're commenting on Reddit:
human
[Batman] Bruce Wayne has a thing for fostering black-haired orphan boys, are there any continuities where he adopts Billy Batson, aka Shazam?
gpt
No, and it comes down to geography. Batman relies on locally sourced robins; either he happened on them while in Gotham, or they specifically came to Gotham as a response to Batman's presence there. For a long time, Shazam worked out of Fawcett City, a fictional city somewhere in the midwest, and more recently he works out of Philadelphia, both of which are hundreds of miles away from the New Jerseyish Gotham City. They'd never have cause to meet until after Billy had a secure home life and was actively superheroing.

That said, in the Young Justice cartoon it was revealed that Batman worked out Shazam's real age long before any of the other leaguers did, and he sponsored Billy's membership in the league despite that --specifically because it would have been hypocritical to field so many squishy human 14 year old robins and not field the completely indestructible magic 14-year old.