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를 잃게

… to end up losing

→ 를
phrase Common #5,292
… to end up losing 를 marks the thing being lost. 잃게 is a connective form of 잃다, used in expressions meaning “so that … loses” or “come to lose.”
KO: 그는 친구를 잃게 되었어요.
EN: He ended up losing a friend.

클라우디아를 잃게 될 거 야

You’re going to lose Claudia.

— 8과 1/2 (1963)