If your home in the room with him,I would have hi out on a playstand. There is always a risk with other animals it he room. Even the best behaved dog can snap once in awhile. Unfortunately there have plenty of threads about tragic accidents.
keep I mind, it's not just the dog you need to worry about. There are others dangers a unsupervised did can get into.
That is true...recently Christmas time, I heard a local story where
a parrot wanted the pretty Christmas lights, so with one foot holding wire, bit thru and fried him. Electrocuted. Always got to watch parrots...especially my Grey, pulled all buttons and keys out of my lap top one day...Sigh... was fairly new... but had keys replaced. Birds are curious creatures, and like to explore new adventures.