So after Rebirth and Doomsday Clock and Dark Crisis im a bit confused as to what origin story is currently canon for Supes? I would imagine since this is the Post-Crisis Superman it would be John Byrne's Man of Steel? But that was supposedly overwritten by Birthright when it came out but after Infinite Crisis Johns wrote Secret Origin and that became the new origin. He also merged with New 52 supes so is Morrison's Action Comics run the origin? Any evidence in recent comics as to which it is?

Also a followup question in 2004 when Birthright came out DC announced this was the new origin story for Superman but did any comics or storylines actually acknowledge that? I remember people questioned it when Identity Crisis came out and still had the MOS versions of the Kents.