So how would you define an interactive media that isn't a game? Or would all interactive media be considered a game?

My above comment simply used the classic definitions of the words:

Video = on a screen.

Game = Win/Lose.

"Game" would work whether it is a video game, an audio game, a board game, a physical/sport game, etc.

If you define something like stanley parable as a game, then by definition, shouldn't a haunted house be a game? It's essentially the same thing. You walk through an environment that is already created with no objective other than to walk through it and look at the environment.

Sims is literally just a life simulator. Remove the "video" part and you literally get real life.

You are working from a group of things that are classically called a "video game" and then attempting to define video game by using the titles that you've already determined to be as such.

I think the big "argued" genres of interactive media are:

Simulations/Sandboxes (kerbal space program, sims, minecraft-classic, etc).

Visual Novels and Interactive Stories (Heavy Rain, Clannad, Katawa Shoujo, etc).

Simulations make you want to say they are games, because they look and feel like them. However, you have to consider simulations that don't look like games as well. What separates the "game" ones from the "non game" ones? To provide a clear definition, a line needs to be drawn somewhere. Otherwise it's just subjective babbling. Unless you are saying something like nasa's solar system simulator is a game? What about farming simulator and goat simulator? are those games? What separates the sims or animal crossing from them?

For visual novels and interactive stories, are they games? Stanley parable is essentially an interactive story with free motion/control. This particular genre actually stemmed from CYOA books (flip to page X). Are those books "games"? Why or why not? Ace Attorney falls under this genre as well, even though there's a bit more interaction.

This is why I put the dividing line at Win/Lose conditions. Remove the "video" part and see whether or not it'd still be a game. If yes, then it's a game. If no, then it's not a game.