what you should do is get a sack of cats, a sledgehammer, some spare chip board and a box of nails.
1) Take your sack of cats, and open it up, allowing the cats to roam your room, (pro-tip; keeping the cats in there for a few days will make them hungry, more effective that way)
2) Break open your ceiling, this will open the path to the roof for you.
3) Grab the nearest cat, and throw it through the new hole. Repeat until you run out of cats.
4) Repair roof with chip board and nails, paint if you're OCD like that.
5) Enjoy your chirp free roof as any additional birds will be preyed upon by your army of ceiling cat protectors.
PS; if the cats get hungry and, thus, noisy that is not my fault and you could perhaps repeat the above suggested program with a sack of dogs.