AHC/WI: Habsburg Germany

Like the title says, with a POD in the 19th century, what would be the most likely way for us to see a unified German Empire with a Habsburg Monarch, and what would that state look like? How would it differ from the Prussian Germany of OTL? How do international relations shake out given that Austria and Czechia are probably part of this Germany while Hungary and Galicia are probably not?
 
The POD could be anything really, as long as Austria win against Prussia in any fight.
If Prussia is completely outclassed it will be easily annexed, perhaps kill off most of the Hohenzollern in a "tragic accident", leaving only those who are likely to bend the knee.

Austria and Bohemia will of course be part of the German Empire, Galicia can be given to Russia in exchange of an Alliance, or even a non-intervention in German affairs, except for Krakov which will be retained.
While the rest of the region has a strong Ukrainian majority, Krakov and surrounding are overwhelmingly Polish and Russia will not accept so many Polish people at this moment.

Hungary could be an independent Kingdom in Personal Union with Germany or perhaps given to another Habsburg to create an Hungarian Branch for the family.
 
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