If you had your cam set to continuous record you should be able to pull the card and get the video with your PC. Assuming the issue lies with playback and not record.
We had a similar the issue years ago, and judging from your photo you shouldn’t have any insurance problems. In our state it called “an appurtenant structure” that your tree struck, meaning anything attached to your actual house. In your case it looks like the house itself!
Best of luck-I know it’s not a fun situation.