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Okay, oddly enough, "traumata video game" didn't get me what I was looking for, but "traumata walkthrough" did
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The game is called Traumata: The 13th Floor.
Edit: I was somewhat mistaken, there was no note by the dead bodies, just the ability to "See" them. And more specifically, it was Adam's (the protagonist) parents who were murdered.
Edited by BlackFaithStar When you're alone I'm reaching out to let you know that you're far from strangers, like the savior

I played this game about 5 years ago, on mousecity.com (when Flash Player worked on Chrome). The title may have been a variation of "Trauma", "Paranoia" or even "13", but I lean more towards it being either of the first two.
You play a guy visiting an old apartment building for a journalistic endeavour, and later recalls that he has a history with the place. The lady on the ground floor, once you enter her room, briefly appears as an all-black figure with red eyes before you see her normally. You have to take her key to advance inside.
The further you go up the building (I think), the more often you will see the shadowy figure. It starts with brief glimpses, then the figure appears for longer, but immobile. The danger starts when the guy starts moving towards the player (it's Game Over if it gets you * ), and must be avoided by going into another room.
Now here may be spoilers:
Our protagonist finds that he can interact with portraits on the wall to an alternate world/time where he walks in the form of a child, and this flipping between his past and present self is needed to proceed, as well as evade the dark man on either side. The game ends when the kid enters a room with lots of crime tape and a bloody dead body, along with a note that explains that he witnessed a murder in the building as a child and the trauma of the event haunts him when he returns there.
It's a side-scroller game and I recall that it has a pixel-ly look. I happened upon it (in mousecity.com) in the "Related Games" window that appears below the main window (where the current game you're playing appears). It's possible that I could randomly find it again that way, but I tried that before and haven't spotted it yet.
Thank you in advance for your time.
Edited by BlackFaithStar