Welcome back to the Wefugees Community and thank you for reaching out to us again.
I am not sure if I fully understand your question(s). What I can say is that you will receive unemployment money again as soon as you are in need and you don't have enough income to cover your basic costs of living (after you applied for the respective benefits at the jobcenter of course). Did you receive an excemption from the costs for the integration course already? I am not hundred percent sure actually, if there might be a chance of revoking the exemption if you earn money now. Let me link my dear colleague @mbeon-fardeen here. Maybe he can help to clarify in this matter.
All the best,