welcome again to the Wefugees Community.
It takes usually 4 to 6 weeks until they issue your Bluepass. Nevertheless, nowadays it might take them longer until they issue your Bluepass.
Similar to a Bluepass you also can travel abroad and return to Germany with a Fiktionsbescheinigung, which is issued based on paragraph 81 section 4 of Residence Law (§ 81 Abs. 4 AufenthG). However, I recommend you to ask in the embassy of the country, where you want to travel, if they recognize the Fiktionsbescheinigung and you don’t face any problems traveling to their countries and returning to Germany with your Fiktionsbescheinigung, without having a passport yet.
I hope my answer was useful for you and I'll be very pleased if you contact me again with further questions. I'm a member of the MBEON-staff and I‘ll be glad to guide you over a longer period of time. Mbeon is an online consultancy for migrants via the mbeon-app, which you can install on your smartphone for free. Download it via App Store or Google Play Store. You'll find me In the mbeon-app under my name „München, Herr Noori“ and get confidential one-to-one advice in a safe virtual room where nobody can wiretap messages. Further information: www.mbeon.de