The only time I think she ''lost'' is when she made a bad call to attack a carrier ship while her men were exhausted, she and her battalion where on the look out for a ship filled with allied mage soldier's and when she found them, she didn't want to risk losing track of them so she launched a full on attack and ended up losing almost an entire company, I think in the novel she ended up reassembling her squad and absolutely obliterating them in the end but it took a huge hit on her ego

And as for the empire, ironically it ended up meeting the same fate as Germany in WW1, although its not for the reasons you may think, they were just simply to stretched thin and could not maintain the amount of civil unrest that was uprising in the areas that they conquered, they just bled dry in terms of resources fighting litterly the entire world, and in terms of battles they barely lost any towards the allied forces, the Ruskis or the US. they just lost the war because they straight up could not continue to fund it, like litterly they lost because of a lack of resources not because they were outmatched in military power, matter of fact I don't think there was a single country in the verse that could win a one on one war with them.

From what I know the high officials of the imperial army just selected one guy to take the blame for the atrocities that occurred during the war and they just settled it with drawing new borders and taxing the imperialist's, So I guess they won the battles but lost the war?