I just tried and it totally works

Kudos for finding a VERY good (ab)use of the Armageddon+Time Back combo.
I would've testet if I could have done the same in a few more rounds using trap+Death Star in round 1 and 2 and simply avoid most dmg so that the paladins wouldn't need a single phantom. Armageddon seems theoreticly amazing in a single stack Red Dragon or Arch Demon lineup, but I never had the guts to use it, so I wanted to see if it could be avoided in this particular fight.
But there were no Death Star spell

I guess I'll never find out