Worry that if Nicomede is the real murderer, you'll never clear your name.
Ask Eutimio what he knows about Nicomede.
Hope that Eutimio is up for a fight.
Ask whether Nicomede had any reason to dislike Councillor Lorenzo.
"Nicomede's master of the Iron Bank council," Eutimio says, worried. "He's ruthless. I've seen him draw and quarter a man for failing to pay a debt."
Eutimio's jaw drops when Jon tells him about the man with the wine-colored birthmark. "That's Nicomede. He's the most powerful man on Braavos."
"The Sealord is nothing," Eutimio dismisses him with a wave. "He gets the palace, but it's the Iron Bank Council that runs Braavos."
"They knew each other, of course," Eutimio says uncertainly. "It's possible that Nicomede was the one who caught Lorenzo embezzling... But why kill him?"
Point out that the Sealord is supposed to be the most powerful man on Braavos.
Tell Eutimio you need to know everything he's ever heard about Nicomede.