Where does bluestacks install my apps and where does it store the saved game files for those apps?
Windows 7 or below:
<BLUESTACKS_DATA>\UserData\SharedFolder By default,
C:\ProgramData\BlueStacks\UserData\SharedFolder is where you'd want to look.
Some Windows 10 installations put it here:
More info here: How to transfer files between BlueStacks and Windows PC?
In Bluestacks 3 and 3N, apps are installed in various Android folders, such as
/data/app (stores APKs),
/data/data and more.
/data/data also contains your savefiles, whether the app stores game progress locally. You need to root the emulator to access those folders.
Userdata\SharedFolder only contains files that you shared between Windows and the emulator.