I am an MBA student in Germany. My Master's thesis defense is scheduled on 22-Jan and this marks the end of my Master's degree. I have a permanent job offer, exceeding Blue Card threshold, in Berlin with joining date from 1-Feb. I am planning to move to Berlin on 23-Jan, and am already trying to find apartments there. My current student Visa is valid until 28-Feb.
In this situation, can I go to Ausländerbehörde in Berlin, even if I don't have an apartment with Anmeldung yet, for extending Visa and converting it into full-time work permit? What documents, if any, do I need from my University after completing my thesis defense, to prove the completion of Master's degree. As far as I know, actual graduation ceremony happens in April. Please advise. Thanks