When Smoke Screen (-4 Might to a minimum of 1) is used on Jinx during combat, and Jinx takes 1 damage that is cleared during cleanup, does Jinx die or survive after losing Attacker status and the Assault bonus?

Jinx survives with 0 Might and 0 marked damage. Smoke Screen reduces Jinx from 6 Might (4 base + 2 Assault) to 2 Might. The 1 damage taken is cleared during cleanup. When Jinx loses Attacker designation at the end of combat, the Assault bonus is removed (2 - 2 = 0 Might). Since the kill condition requires nonzero marked damage equaling or exceeding Might, and Jinx has 0 marked damage after cleanup, it survives.