Sadly I don't have enough time this week to help making the final cart :(
But I have a proposition. I think it would be feasible to make a multicart project (one master-cart, some game-carts). Each game-cart contains multiple mini-games. For example:
- the master-cart handles the title screen and randomly loads a game-cart with one parameter: level
- the game-cart run one minigame randomly. At the end, it loads the master-cart back with parameters: level and status (won or lost).
- the master cart, knowing it has been loaded with parameters, update the number of lives and load a random game-cart with parameter level+1 (or handle the game over screen if necessary).
- etc.
PICO-8 can export html multicarts with at most 16 carts. It should be plenty! I didn't check how the current picoware cart works, so maybe my idea is not easy to do.