Welcome to our community and thank you for your question!
In general traveling should be unproblematic. You are allowed to travel using your blue passport. It enables you to travel visa-free to a lot of countries, but you can also use it in combination with a visa if necessary.
Check out this link for further information:
You can stay in a visa-free country for a maximum of 90 days within a period of 6 months. If you entered a country with a visa, the maximum length of your stay is determined by the terms and conditions of your visa.
If you plan staying abroad for more than six months I'd highly recommend to get in touch with with Ausländerbehörde first. Maybe they can make an exception. Otherwise your Aufenthaltsgestattung expires after six months.
Source (German language): https://www.berlin.de/labo/willkommen-in-berlin/aufenthalt/erloeschen-eines-aufenthaltstitels/#Aufenthaltserlaubnis
Keep in mind that traveling to your home country will most likely result in a loss of your refugee status.