Parental allowance

Hi all :) I hope someone can help me. Here is my situation: I worked in Germany for more than 6 years until June 2024. I got pregnant and my child was born September 2024. In the meantime I moved to a different country in EU due to my husband job but I kept my flat in Germany (as I may come back for work after my maternity leave is over) and I also received the parental allowance for one year (the office knows that I am currently  residing outside of Germany with my child, they also send me all the correspondence here ).

Unfortunately my German landlord wants to sell the apartment that I was renting. As I would only come back to Germany around September 2025, do you know if I have to find another flat immediately now to keep my residence in Germany uninterrupted, or is this okay that I won’t be registered for several months in Germany, and only find a flat when I am back? I am mostly concerned about the parental allowance and the insurance. I have tried calling the office but it is very hard to talk to someone in English and my German is not that good. 
Many thanks for all the help! Cheers :)