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Namely, the spell cannot possibly be a conjuration (calling) if reducing it to zero HP (or assisting the would-be Hellknight) causes it to abjure itself; that's the behavior of a conjuration (summoning) spell. Calling spells actually bring the creature, not an expendable avatar of the creature; reducing a called creature to zero HP makes it disabled or (for certain types such as undead and constructs) dead, not abjured / dispelled.
You'll have to find a errata for this to be established, as written it is a CALLING
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So now that we can establish that infernal challenger is supposed to be a conjuration (summoning) spell, we can apply a general rule of such spells: summoned creatures cannot summon.
Except it is Calling, not summoning, thus this is not a solution. The question is WOULD it do so, not COULD it do so. The spell as written says yes to both in my mind. I am looking for reasons it would NOT do so, and you're suggesting changing the spell, which isn't an answer to how the spell functions as written.