I really love this concept, I think it's probably the most unique one I've seen so far. I love the creative use of the health bar UI to limit movement. The art is nice and clean as well so I had a pretty easy time telling what was what. I also loved the different titles you would collect in the top right, it's a fun way to reward unique interactions.
I will say that the June moments were waaay too long though. I honestly though the game had crashed after the first conversation because of how long it stayed on the empty dialogue box with no additional sounds. A short fade to black and back can make a fast transition feel more natural or if you could still move around and interact with things while she is out, that would make it feel a lot better.