Oh this sent a chill straight through me, please update us when you've gone through the footage! Three nights in a row is not nothing, that's a pattern and patterns mean something.
Can I ask - did the breathing sound rhythmic like an actual sleeping animal or more irregular? And did it ever respond to noise you made, like if you moved or spoke did it change at all? I ask because I had something similar years ago in my old flat in Cheltenham and it turned out to be a cat that had somehow gotten under the floorboards, but the sound was so distinctly alive it shook me for weeks even after we found the poor thing.
But if theres nothing on the footage that explains it then honestly I don't know what I'd do. Have you had any other activity in that room or is it just the breathing?