That last set of jumps is tight! Finally figured it out though and ended up winning. :)
I looked at comments to confirm that you did put in some coyote time which is good, though I did find myself slipping off of the corner of platforms (I think maybe that the hitbox is rounded or follows the sprite?)
One thing I was wondering about was that some of the room transitions were kind of odd to me. There was one that stuck out midway through, where you go right->up->left some stairs and the edge of that section was its own room. It kind of made me wonder why it wasn't all together.