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Sounds like any action move protagonist.
…half the wearer’s remaining health rounded down.
I kinda did that for a boss. They had to call shots and destroy body parts doing at least 25 damage a turn or it healed. Turns out level 13 5e PCs have no problem with that.
Maximum, or current health? That is an important distinction which can drastically change the armor’s utility.
Current health, probably, since it’s a play on one of Zeno’s Paradoxes