I’m coming more from a server perspective but, fundamentally, all HDDs are “temporary”. Eventually that data might be in a bigger/faster/functioning replacement - so it’s best to treat the drive as something which can always be replaced.
Continuing that, you might mount to /mnt and then symlink that where you really want it, say …/games. That layer of abstraction allows you to replace the drive without much effect on install. Also allows for expansion via something like mergerfs (*no idea if that’s a good idea for your use cases)