A really clever game! The combination of the ink trail and the chasing ghost (and the turrets) made for really interesting and almost tense gameplay. It seemed to be about finding the correct order and honing the timing to perfection. Very cool.
The initial signalling of what you need to do could be improved, I think. I only figured out how to get through the first level because someone in the comments mentioned "lever", which I hadn't even seen at all.
But other than that, this is just a really good game. Well done!