score:8
First, we need to establish whether the EU Blue Card is a residence permit. It is: the official List of residence permits issued by member states includes the "EU Blue Card" issued by Germany:
Now head over to https://skyteam.traveldoc.aero/ which is a friendly end user interface to Timatic, the service airlines use to decide whether you can board and see you are good to go:
Also
https://immigration-portal.ec.europa.eu/blue-card/essential-information_en
You can also travel through other EU countries on your way to the EU country that you live and work in.