I already posted this fix on the Hitman subreddit but I thought I should post this on the Hitman Forums as well.
I found a solution to my problem with two pieces of information that hopefully applies a universal fix and not just a fix for me.
On Steam’s community hub discussions, the user “lovestosmudge” created a post titled “Game speed is too fast”.
On that post, the user “Externalfear” mentioned limiting the frames per second to 60 and setting the monitor’s refresh rate to 60hz.
Below this comment, the user “Hars1k” provided configuration settings that helped fix issues with the graphics being jittery.
The exact configuration settings listed below:
DefaultScene=AllLevels\Logos.gms
SoundDll SoundEngine.dll
ScriptDll sdl_engine.dll
scriptifdll scriptinterfaces.dll
DrawDll RenderD3D.dll
SoundRender Direct Sound (SW)
Resolution 1920x1080
ColorDepth 32
Antialias 0
StartUpperPos 0,0
InvertMouse 0
SpeechVolume 90
MusicVolume 90
SoundEffectsVolume 90
AutoDumpName dump0000.jpg
TextureResolution 1
NumSoundBuffers 64
UseEAX 1
DrawDistance 1.000000
Subtitles 1
WeatherEffects 1
DisablePolyLimit
DisableBump 0
GammaValue 1.000000
LevelOfDetail 1
ShadowDetail 2
VibrationMode 0
PostFilterLOD 1
DisableTrilinearFiltering 1
Anisotropy 1
Window 1
WeatherMultiplier 0.600000