So the game takes place anytime after Reassembled because that is the first time they see Ultron since AoU.
Alright here are the shorts I have completed (15 out of 29), Rogers616 had better placements for some of them and he has added cutscenes e.g. black widow interrogation during avengers movie. Up to you if you want to add cutscenes. The specific dates in the brackets are thanks to Rogers616.
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holiday crisis (December 25 2015)
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spiderman showdown (July 2008)
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Avengers build battle (July 20 2014)
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infinity war 360 (May 31 2018)
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the gauntlet (May 31 2018)
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beware the vulture (September 8-26 2016/whenever spiderman homecoming is)
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follow that egg (September 8-26 2016/whenever spiderman homecoming is)
-2014:
Lego Marvel: Iron Man's Job Shadow
-2015: -
Black Widow at Lunch time Mini Movie
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The Hulk goes shopping Mini Movie
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Captain America and Thor playing ball Mini Movie
- The Avengers vs Ultron Mini Movie (all take place leading up to the intro of reassembled in September 2015)
- Reassembled
Here is a low-quality combined one of all 4, the last one "Avengers vs Ultron" contradicts reassembled so probably shouldn't be added or added sometime after it, or straight after reassembled as Ultron quickly returns then is defeated again
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Lego Marvel: Iron Skull Sub Attack (December 2012)
-2016:
Lego Marvel Super Heroes: Avengers Disassembled (June 22-23 2016/whenever civil war is set)
-2022:
Lego Marvel: Dr Strange Gargantos Showdown (whenever Dr Strange MoM is set)