@tuism - your board game collection starts at 4 boring games and can grow to up to 25 games. (We were also thinking about taking a picture with people using literal buttons as trackers for morale and current week.)
As for strategy, it's mostly in picking what you want to do throughout the week. Because you can see everyone's schedule at the beginning of the week before you claim days to DM, and because games are claimed by DMs on a first-come-first-serve basis, you can force family members to miss games they would benefit the most from and get stuck playing games they hate.
(And for the in-universe games, any game with "TAC" and "WM" in the corner is a strategy game, since it benefits from both tactical thinking and the ability to keep lots of things in mind.)
Anyway, thanks for the feedback!