Had a +3 level Shade team, with Abigail Balog and Green barbarian. Managed to kill Abigail, but my team was wiped out.
The next 4 toons i sent in were all killed after shade possesses Abigail in the first round (each time) triggering her special attacks along with the cascading attacks of the barbarian horde.
Shade possessed Abigail first turn each round, ending today’s tower.
Barbarians in the tower can eat a bag of D’s. I have a decently high power roster, and I get mulched if there is more than 2 or 3 barbarian squads. Today was a lot - and a few were several levels higher than me.