Hi @lydiaspenza,
I presume your Ausweis has what's called 'räumliche Beschränkung' or 'Residenzpflicht' or 'Wohnsitzuaflage' that means you are obliged to live in a certain area? If so, you can apply to have this obligation lifted. You must have secured a job, studies or Ausbildung in another region in order to move. The application is called 'Antrag auf Aufhebung der Wohnsitzauflage'.
Best,
Éanna