I just rewatched Man Of Tomorrow. Lex states "Is it still Halloween?" When he sees Superman for the first time. This would imply it's late in the year. I'm thinking November.
Also, since it's confirmed this universe is a continuation of the previous DCAMU, wouldn't it make sense that it kicks off in 2021 instead of 2020? Flash reset the timeline in 2021. I also think House Of Mystery should be chronologically placed before Man Of Tomorrow since it deals with the immediate aftermath of Constantine's actions in the old timeline. Thoughts?