thank you for sharing your question with the Wefugees Community!
According to the Dublin regulation you will be sent back to the state where you first entered the European Union. That state is responsible for your asylum claim. This means that the German government will try to sent you back to the responsible state as soon as possible. During your waiting time it is in general not possible for you to receive an Ausbildungsduldung.
However there is a tiny possibility for you if for some reason the German government won´t be able to send you back to the responsible EU-state, f. e. it takes too long because in general they have to send you back within a certain time frame. But to be honest, the chances here are not too good.
However, if you are already in Germany I would strongly advise you to go see a counselling office since I don´t know all the details about your case and they might maybe have some more ideas. You can find free and trustworthy counselling centres/offices in your area via this Website:
I hope this helps & please don´t hesitate reaching out to the Wefugees Community if you have any further questions!
All the best
Note: Please keep in mind that we can´t provide qualified legal advice via the internet and that any information given can´t replace such legal advice.