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When the last few MCU movies came out, there had been corresponding sequences and tie-ins with the ongoing Marvel's Agents of S.H.I.E.L.D. series. Winter Soldier's introduction of Hydra-within-SHIELD fell right into lockstep with the series' traitor plotline. Thor 2 lead into the series' team having to do cleanup in the UK. Age of Ultron revealed that Coulson's super-secret plan was actually readying a SHIELD Helicarrier for Fury's use.
Now, I admit that I sped through the last six episodes of S.H.I.E.L.D. in preparation for watching Civil War this weekend, so maybe I missed something. However, I didn't notice any particular lead up to anything revealed in the movie this time around. Did I miss anything? Yes, I caught the cute little reference of HIVE/Ward saying "Only billionaires can have super suits and only the government can make super soldiers, which will lead to a war of its own", but was that it? Did anything else from the series have any impact or cause any revelations in the movie?
Regarding the question Which Marvel TV episodes are related to the MCU movies? that question is from 7 months ago and does not address the movie that came out this weekend.