We moved into our house about 3 years ago and since moving in our birch tree has looked unhealthy. It is closely located to a larger shade tree and it appears that the previous owners trimmed it fairly often to prevent contact with the house close by. The tree itself has very few leaves and I noticed one area pictured below that is starting to rot where a previous branch was removed. Is there anything I can do to get this birch tree to look more healthy?

