I moved in knowing that there is construction outsides. However, what I did not know is that this construction site would violate the law and start construction as early as 5:30 AM. They have been fined twice by the city of Seattle. If they keep ignoring the law and start construction early, can I break my lease? I know it's not my landlord's responsibility, but it's insufferable for me because I cannot sleep.
No, you can't break a lease for a problem that is not caused by your landlord. You can, however, file repeated complaints, as can others in your building and, presumably, adjacent buildings. Written letters may be necessary if the online complaint facility doesn't work. If they respond that the project has an exemption, that is unfortunate for you. Do not complain to the police (they do not deal with construction noise) – instead, complain to Construction and Inspections Compliance.