Amazing score! You finished the 4th floor - my wife is going to go crazy when she sees this! Congrats!
The camera motion was all done using Unity's new Cinemachine cameras. They have an obstacle avoider that you can use to avoid certain layers of objects, with some smoothing. It gets a bit difficult to see things in upper floors though - I should have added some kind of manual camera rotation feature, but ran out of time during the jam.