The film, to be directed by Ramin Bahrani, features Michael B Jordan, Michael Shannon and Sofia Boutella.
Bahrani has co-written the script with Amir Naderi.
Singh will play Raven, a tabloid vlogger who works with the fire department to spread the ministry's propaganda by broadcasting their book-burning raids to fans.
Lilly's credits include "Bad Moms" and voicing a character "Ice Age: Collision Course".
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