Welcome back to the Wefugees Community and thank you for your question.
As far as I remember, you are currently holding an “Ausbildungsduldung”, correct? In case you want to move to another place, you probably need to submit a so-called “Umverteilungsantrag” to the immigration office (Ausländerbehörde) and they have to approve it. Also when they issue a residence permit after your three years of Ausbildungsduldung (3 + 2), I would always recommend to contact the immigration office and to check your “Zusatzblatt” for the conditions. In case you are subject of a so-called “Wohnsitzauflage”, you need to apply for the deletion (Streichung). Certainly a job offer would be a strong reason for the immigration office to approve this.
Regarding your job, please remember, that it will be important for you and your residence to work in the field you are specialized/trained in.
Do you agree dear @mbeon-fardeen or is there anything you would like to add?
@Dreamchaser, I hope this helps and please don’t hesitate to get back to us with any further questions.
All the best,