If not citizenship then most probably residence permit according to § 25b AufenthG
Other than that, does it really matter? If you have it just submit it to them.
The registration and the result takes time around 2-5 months.
If you do not have it, start learning from here https://deutsch-werden.de/de/einbuergerungstest
The Leben in Deutschland and einbuergerungstest has exactly similar questions. So, don't sweat on the name of the exam.