Hi,
thanks for your question.
It is a clear condition mentioned in the law that you can not
get unemployment benefits as graduate at the same time as
having/or applying for establishment Card.
I will recommend you to read our article here:
https://www.a-kasser.dk/establishment-card/
And maybe also from nyidanmark.dk:
https://www.nyidanmark.dk/en-GB/You-want-to-apply/Work/Establishment-card
Best regards,
Anders Weber, A-kasser.dk