Fake self-employment when permanently moving to a non-EU country and working for the previous employer?

I have dual citizenship (German and a non-EU country). There is also a double taxation agreement between Germany and this non-EU country. ​ I have been working for a company in Germany for many years. ​ I will be leaving Germany completely and moving to my non-EU home country for three years. I will have my residence there and will no longer have any address or other connection to Germany. I will also use my existing one