Was able to beat it with an early gluttony. But i really believe that 70% of the matches are not solvable, for example if you get a forced double armor enemy upgrade early. And enemies being able to stack upgrades while not having that option really kills it. The difficulty spikes on some playthroughs are tough. Sometimes ending up with 25 attack on enemies.
It's a fun brainteaser though. I semi-enjoyed it, but was frustrating.