There's somewhat of a pattern in the coil fights so far if you purely look at the boss fights.

Turn 1 - Caduceus - nothing much.

Turn 2 - ADS - tank swap, rot debuff

Turn 4 - Multi-phase DPS check

Turn 5 - Death sentence, conflags, fireballs - minor dps check to get 4 conflags to meet enrage timer, phases at 55%. divebombs, DPS check on 2 phases before final phase. 1 shot mechanic known as twister, puddles in final phase.