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Honestly Duke wanting Eulalie to be the bait is kinda dumb when pluto is right there. He's small, fast, and has quick reactions in times of danger making him the best bait in their situation.
Duke didn't chose pluto because he cares about him more than he does for Eulalie; he doesn't want pluto to be in danger or be hurt but he wouldn't care as much if it's Eulalie who was in danger and got hurt.
At the end of the day pluto is more his friend than Eulalie is