The only new piece of info is that the Germans think MM was abducted via a car.
The actual detail of what is supposed to have happened is what baffles me.
When I first heard of this incident and of the apartment's layout, my initial thought was that obviously,
obviously someone had come in through the unlocked back door, opened the bedroom window, passed the child out to an accomplice who put her in a car, then exited through the front door and driven off. This requires an accomplice, but means that if seen, almost nothing you're doing looks suspicious. There are a few brief seconds when a bundle is being handed through a window into a car parked right outside, and you could be seen entering an apartment that's not yours. Those are the only bits that are risky.
A lone abductor could have opened the front door and car doors, taken the child, then closed all the doors. It would take longer to do, but without the use of the window it would have looked less suspicious still. The window detail thus points to two or more perps, IMO, who wanted the actual abduction done quickly and who then perhaps departed in different directions.
Then the plot thickened, because apparently, the front door was deadlocked, and could not be opened from inside without the key. Also, the window was said to have been forced.
You might leave via the window if you're already in the apartment, but you would only need to force the window if you were on the outside, trying to get in. This detail about forcing says the back door was not used at all. But forcing a window is likely to be noisy and to attract attention; climbing through any window carrying something is guaranteed to look suspicious if seen; climbing through carrying a child is not going to be simple. You'd surely need an accomplice if the window were used, whether to get in or out or to pass the child through. So did this really happen?
If OTOH entry and exit were both via the back door, you can avoid being seen by waiting until after a check has been made, then enter, leave carrying the child, walk around to the front and enter a waiting car. At no time does any of that look suspicious. Your only risk is being seen as you enter and leave through the back door by someone who knows that's not your apartment or child. There will otherwise be nothing untoward about what you're doing.
So in short, surely you would use the door. You don't need to use the window for anything because it adds risk for no benefit. If you've staked the apartment out enough to know there's an unattended child there, you'd also know the best way in is via the unlocked door. So you'd walk in and walk out through a back door you know is unlocked and unwatched.
Is the window a red herring? Was it just left open in error and had nothing to do with what happened?
This stuff is why a reconstruction would have been useful.