The alternative to "game" is "programming contest"
Also: we're very much structured like a conventional CTF; it's just a CTF we're not taking down after a few days.
"Challenges" or "programming challenges" sounds good to me.
The textfile was a fun read, best of luck!
We spend much of our childhood doing accelerated learning through play (games). There's no reason that can't continue into adulthood, except for it culturally being slightly unacceptable. That's really counter-productive.