In the 90s, original teen center in my neighborhood was the YMCA or rec center. The adults complained and restricted a lot of the access to “teens with parents”. Malls were kinda popular. But so was the nearest game store or comic store.
In the 2000s-2010s, it was coffee shops. But you had to pay to be inside.
The new “teen center” in my neighborhood was the library. Quality place.