This is a great twist on the sokoban formula, I think plenty more puzzles could be made that flesh out how the green block and path extensions behave, both on their own and with each other
I think there could be some indication on how many tiles I'll be able to move from connectors I haven't touched yet (Perhaps just a number indicator on the floor), and I'm not entirely sure how the jam theme ties into the gameplay, but in terms of the game that's here, I'd enjoy seeing more levels with these mechanics.