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The Fourth Wall Will Not Protect You covers the concept and mechanics (it even cites Imscared as a textbook example in the fourth paragraph)
Genre-wise, this is a popular trope in Digital Horror and Analog Horror- Inscryption is a good example of how the line between the two can get blurry as it plays with degrees of fourth wall breaking.
Edited by Scorpion451Well, it was The Fourt Wall Will Not Protect You all along.
Since they don't seem to have and/or need a specific trope, I'm going to close this as resolved. Thanks for the help.
Oo oo ah ah

A specific type of horror game that plays like you're the protagonist of a creepypasta. However, instead of simply Defictionalizing a haunted game as described in the creepypasta, these games are programmed to actually act as if they're haunted, in a The Fourth Wall Will Not Protect You way, like closing and opening by themselves.
There's apparently a recent game called 98xx, which is presented as if you're using a PC from the late 90s, before it starts acting all creepypasta-y, even if it doesn't seem to have a Tv Tropes page. Aside from opening and closing automatically, players also have to find secret links in the game, that when searched on the internet will yield videos and pages, which tell more of the lore.
However, a more familiar example would be Imscared. This game also closes down automatically at some points, and goes even further by adding files on your PC, which contain the hints to progress in the game.
I haven't found anything specific in Video Game Genres, but I first wanted to ask here if the fourth-wall breaking/diegetic gameplay can be already covered by an existing trope.