A game is structured playing, usually undertaken for enjoyment and sometimes used as an educational tool. Games are distinct from work, which is usually carried out for remuneration, and from art, which is more often an expression of aesthetic or ideological elements. However, the distinction is not clear-cut, and many games are also considered to be work (such as professional players of spectator sports/games) or art (such as jigsaw puzzles or games involving an artistic layout such as Mahjong, solitaire, or some video games).
Key components of games are goals, rules, challenge, and interaction. Games generally involve mental or physical stimulation, and often both. Many games help develop practical skills, serve as a form of exercise, or otherwise perform an educational, simulational, or psychological role.
Planet Baen meets none of these criteria and is therefore not a game, it comes closet to work as you are remunerated in free books for the time you waste on it, but at a rate far below minimum wage, the free ebooks do not even cover the cost of the equipment and power required to "play."
I have abandoned all my freeholds and gone back to reading books. If I need more free books then the Dark Web will provide.