Elemental Escalation

For [npc=128024], I used

[npc=73738] 2,2,2
[npc=36871] 1,2,2
[npc=84915] 1,1,1

It went down like this:
1. Fade. Jadefire Spirit swaps out with Core Hound Pup
2. Scratch
3+4. Burrow
5. Dodge
6-8. Scratch
9. Pass. Core Hound Pup dies. Swap in the Molten Corgi
10. Superbark
11. Bark
12-14. Puppies of the Flame
15. Superbark
16. Bark
17. Bark. Molten Corgi dies.
18. Immolate
19. Jade Claw
20. Jade Claw
21. Jade Claw

When I tried it again to test its robustness, [npc=128024] died in round 16 and did the Antaen Cannon in the undead round killing the Molten Corgi, but Jadefire Spirit did not have to enter again.

ONE STRATEGY TO CONQUER THEM ALL!1

crits aside Fade needs to swap into Carrot

[npc=73738] x/2/2
[npc=79039] 2/x/1
[npc=189121] x/2/2

Turn 1: Fade
Turn 2: Blistering cold
Turn 3: Ironbark
Turn 4: Ironbark (igneoid gets swaped in)
Turn 5: Wild magic
Turn 6: Rock barrage
Turn 7: igneoid dies (Jadefire in)
Turn 8: immolate

Team for [icondb=1711341] [npc=128022]

[icondb=538039] [npc=127953] (x/x/2), [icondb=236946] [npc=127947] (2/2/2), [icondb=669468] [npc=85994] (2/2/2)

  1. [icondb=538039] ⇨  [pet-ability=282] (dies); pick [icondb=236946] [npc=127947]
  2. [icondb=236946] ⇨  [pet-ability=811]
  3. [icondb=236946] ⇨  [pet-ability=1965]
  4. [icondb=236946] ⇨  [pet-ability=1964] x4 (the Magma Trap needs to proc somewhere in here)
  8. [icondb=236946] ⇨  [pet-ability=811]
  9. [icondb=236946] ⇨  Anything/Pass (dies first to [pet-ability=1968])
10. [icondb=669468] ⇨  [pet-ability=934]
11. [icondb=669468] ⇨  [pet-ability=1072]
12. [icondb=669468] ⇨  [pet-ability=354] x4

This is pretty RNG resistant, since [pet-ability=811] has a lot of chances to activate. If it never does, just try again and you'll probably get it!