Nice work for your first game jam, and sorry that you lost progress :(
I really like the ideas for a different way to play Tetris. I think that it needs block storage and instant drops like in the original game, since these features help out a lot with pacing and strategy, not sure if these were things you intended on adding to the game. Still, it plays well and I haven't encountered any issues, and I like the art you made for the game using PICO-8. Well done!