When Does the First Remake of "King Kong" (1976) Take Place?
"King Kong" is an adventure horror (kaiju) film written by Lorenzo Semple Jr. [remaking "King Kong" (1933) by James Creelman with Ruth Rose, Merian C. Cooper, and Edgar Wallace] that released December 17th, 1976. So when is "King Kong" set?
It takes place in the year:
We know this because when Fred Wilson is first disclosing his plan to the ship's crew, he displays a photograph taken by the US Navy in 1943 AD and then another taken "two weeks ago, 35 years later" so unless it's currently January (when a ship would be unlikely to set sail) that is the current year.

1978 AD
We know this because when Fred Wilson is first disclosing his plan to the ship's crew, he displays a photograph taken by the US Navy in 1943 AD and then another taken "two weeks ago, 35 years later" so unless it's currently January (when a ship would be unlikely to set sail) that is the current year.
1943 + 35 = 1978.
It has been retroactively absorbed into the MonsterVerse Universe at a chronologically early place (a first chronological film to feature King Kong) and can be watched at its timeline point, as an extended flashback before "Godzilla vs. Kong" (2021) [with or without the "Monarch: Legacy of Monsters" (2023) TV show], or entirely separately.