Selected Gett cabs will also surprise users with 100 goody bags filled with merchandise from the film.
Agency Thinkjam is behind the activation, alongside Gett's in-house team.
Hannah Gendler, marketing manager at Gett said: "We're already seeing a very positive response across our social channels with people excited by the competition and the new in-app feature.
Gett has experimented with other brands before, teaming up with champagne house Verve Clicquot last July to offer Londoners a bottle of bubbly right to their front door.
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