Trying to find Game App installation folder

As @Izzy said, without root privileges you cannot see the contents of neither /data/app or /data/data.

Even if you did have root privileges, searching for Bingo Blitz inside an average file manager wouldn't have yield anything. This is because no file or folder is named after the app label. In order to turn up some results, in fact, your search term must be an app's package name. In your case, the package name is air.com.buffalo_studios.newflashbingo.

Armed with this knowledge, we can now say that the app's APK can be found inside /data/app/air.com.buffalo_studios.newflashbingo-x.apk (pre-Lollipop) or /data/app/air.com.buffalo_studios.newflashbingo-x/base.apk (Lollipop and above). In both cases, x is a digit depending on how many times you updated the app.

The app's data, on the other hand, is to be found inside a folder called /data/data/air.com.buffalo_studios.newflashbingo/.