Her unique says "Allies can't gain or lose bonus Turn Meter", which is fine.
However, "Han takes a bonus turn at the start of each encounter". Now, 'bonus turn' is the magical phrase which permits extra turns (such as Anakin's 'Righteous Fury') in a Padme squad.
Presumably Han's ability is implemented in-game by simply 'adding' 100% turn meter before the TM clock starts at the beginning of the encounter instead of actually using the 'bonus turn' mechanic.
I think Han should shoot first!
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