Hello Daniel...

...Welcome!
I know of the need for a strawbale wall to be breathable from both sides. However, I'd like to know in which cases or under which conditions straw bales could be used to internally isolate an impermeable concrete wall.
Not something that is ever recommended. SB has to have good (excellent actually) air circulation on two primary sides to function well. Even the SB roofs that have been attempted don't last long unless a "cold vent" space is part of the system.
One could imagine placing the SB so that you have a "venting space" kind of like a "rain screen wall" and this..."may be"...is sufficient enough to allow the SB to be used in a common wall application. I am not sure I would take that risk and just insulate (perhaps?) with something like mineral wool board and/or heaving double layer wood planking, cordwood, or some other "permie" method.
Because of the "common wall" challenges, and not really seeing/understanding a complete model or blueprint concept, it is difficult to give complete guidance of any great value...but perhaps others can share there personal experience of such a condition. I would not recommend (nor do I often) any type of "structural" SB wall systems for first time builders unless the "building team" has either seasoned SB builders/PE support. Structures with an internal framework (usually wood...and I like timber frames..

but that is just my subjective view) are typically much stronger and/or free up some of the design challenges that a structural SB wall may have.
Common walls can really be a challenge down the road also, unless there is a "housing cooperative" or some other "guidelines" of what this wall should consist of. Then there is the very large issue of proper roof drainage!!! Any time a roof's drainage system is directed anywhere near a "common wall" area there is inevitably accumulated moisture challenges, often that go unseen inside the wall area.
Sorry not to be of more help...

Some job site picture would really help or perhaps some design plans, if you would care to share them. Folks here love seeing them and it helps to better understand the project.