If my maths are correct, it’s impossible to reach Conquest max reward if you don’t buy Inquisitors

I got a 6* g11 2nd sister, 5* 9th sister, and the rest 3* g8, and have done both inquisitors feats in sector 3 and 4. Purge you might need to use frenzy tech and palpatine lead against FO or Carth, and let the battles run out