Dear @helios,
thank you for sharing your question with the Wefugees Community!
I am sorry to tell you, but unfortunately it is not possible as an asylum seeker with an "Aufenthaltsgestattung" to travel outside of Germany! If you do so and get caught, you will loose your Aufenthaltsgestattung and won´t be able to enter Germany anymore.
We discussed this topic already here in the Community in the past, so via this link you can find a little bit more information about travelling as a refugee in Germany:
https://***.wefugees.de/102022/am-i-allowed-to-travel-europe-as-a-refugee?show=102022#q102022
I hope this answer was helpful for you and wish you all the best
Melina
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.