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Place on your N.T. human Hero: If your N.T. human Hero fails a rescue attempt, you may discard this card to begin a new rescue attempt with this Hero.
Since we have that precedent, this card must trigger upon the completion of Battle Resolution to allow a one-time check to discard and start a new battle (in a new Battle Phase, as happens with all new battles).
I agree that this card would trigger at the end of the Battle Resolution phase.
Convert 2 generic N.T warrior class evil characters to blue after you play horses on them. Ra play obedience of noah choose immunity ec. Play something nasty--> stillness--> triumph into a new battle--> Use second hero then obedience then nasty then jubilee to get christs triumph play it then another jubilee to get stillness play it--> triumph into new battle lather rinse repeat. The nasty card that works with this is the new job enhancement that lets you clear their hand and territory of evil. After that you can add a side battle to your combo and play besieging the city. Every turn thereafter you use a rescue to play another besieging the city then walk in on your second using Christ's Triumph.
If I understand correctly, I believe it creates a creates a moment in between battle resolution and discard phase that says "Hey, if you want, you can do X to go back and start a new battle phase instead of proceeding to discard phase."