I got to 3 after at least an hour. I think it's basically luck of the draw to be able to complete it.
Nice idea, but sadly not as fun to play as I hoped, but definitely has potential.
I'd suggest tweaking the randomness of the tetrominoes , or changing how the blocks are added when you hit re-roll (or some combination of both); I'd at least allow the shape to be rotated before it is cut out of the block.
Maybe try drag & drop controls instead of clicking each block to build the shape?
I didn't hear any sound or music, maybe a glitch? This plus some added colour and visual effects would help a lot.
Anyway, still great effort getting this idea up and running in the game jam. Hope to see more!