Police came to the wrong house

So I woke up from night shift to the police inside my entry way door yelling hello hello. My dog runs to the door and they quickly shut the door and ask me to come outside. Once I got to the door they told me that my alarm was continuously going off and my security company dispatched them. Despite there being no audible alarm or open door, they entered my house due to my door being unlocked. ADT has confirmed no alarms were dispatched from my property. The police precinct dodged my calls for 2 weeeks finally I went in person and said I’m not leaving until I speak to a supervisor. The supervisor was able to ID the police officers from my ring cam and was able to see that they were meaning to go to an alarm call at the same numeric address just different street. There was no documentation that they went to my house on accident or that they entered or followed up with the correct house that had the alleged alarm going off. Is this legal? They were not rookie cops. All they said I can do is file a complaint. What if I would have shot at them, seeing as they entered my home without identifying themselves as police. What would you do? Location: Minneapolis, MN