Which companion dies? Because this seems to be a pretty easy conundrum to get yourself out of, actually, with the 3x
Feathered.
Wear
ATAR and use the
Still Needed/Hope Comes to make sure Galadriel survives, beat the Plunderer, now Arwen's winning, beat the Gunner, drop the 3x
Feathered to clear out
Castamir,
Cirdan can exert to beat the Reinforcements,
Aegnor exerts to drop the Numenorean (I'm guessing the card we can't see on Galadriel is an
Elven Bow), now assign the Numenorean to Arwen for fierce, Arwen's winning because of the wounds on the Gunner, Plunderer and Numenorean.
Though if you'd exerted Legolas in the Archery phase to drop the
Goblin Reinforcements, you could have actually powered Galadriel up and dropped the str 5 Goblin, and then exerted Gil-Galad to clear the board entirely for the double.
End result, exertion on
Cirdan and
Aegnor and 2 burdens on Galadriel.