The image used for the blueprint of the B.E.A.S.T. Glove is the arm of the Pacific Rim (2013) jaeger, Gipsy Danger.
The change in color for Godzilla's atomic breath going from light blue to a reddish tint, signifying a total boost in power, is identical to the Heisei incarnation having the far more destructive Red Spiral Ray as the sheer strength of his attack is more powerful than his default blue-colored atomic breath.
Godzilla's movements and mannerisms namely the scene where he's sleeping curled up inside the Roman Colosseum, were based off of director Adam Wingard's cat 'Mischief.'
With a net budget of $135 million, this is the cheapest MonsterVerse film to date.
Godzilla has 8 minutes of screen-time, which as actually the least amount in a Monsterverse movie at the time of release. For comparison this is 3 minutes less than Godzilla vs. Kong (2021) (which was 11 minutes), and 2 minutes less than Godzilla: King of the Monsters (2019) (which was 10 minutes) and Godzilla (2014) (which was 10 minutes). The Monsterverse entry with the least amount of screen-time overall is Monarch: Legacy of Monsters (2023), which was 4 minutes throughout the entire season.