Wayne and I finished our Eggmuhl battle today and resulted in an 8-4 win for the French. Attached is the log file.
The start was the now typical start for this battle with the French firing on the units within range, however, only a single loss was recorded and a retreat for both units put them out of range. On the next French turn, a LN unit assaulted one of the Austrian LN and was setup for a combined arms attack but Wayne produced a First Strike that eliminated the entire French LN, blunting the attack. After maneuvering around getting the entire french force in a line across the board and slowly losing blocks to artillery and ranged fire, I was able to dislodge an Austrian LN from the center. This and the fact that I was finally able to draw a bayonet charge allowed me to weaken the Austrians on their left flank enough where it became a chase. Even at this point, I was behind in banners 3-1 but had plenty of targets within killing distance. A Short Supply and LGM cards saved the Austrians for a few more turns but another bayonet charge allowed a French LN unit to attack an Austrian LN in battalion mass, ending the game at 8-4.
There was very little cavalry work, where early on, a French CU was nearly eliminated and later in the game, another French CU was able to force the abovementioned LN unit into Mass which ultimately ended the game. Tense game to start but after the Austrian left was broken, it seemed a matter of time for the French victory. I don't know how the Austrians can win this unless the cards and dice are absolutely in their favor.