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:
SoundRender Direct Sound (SW)