"Alcyone: The Last City (pronounced Al-Sigh-O-Knee!) is a sci-fi interactive fiction game set in the last City in the universe. What's "interactive fiction?" It's sort of if you combine a novel and a video game into one — you choose the direction that the story takes and your choices heavily impact the plot, characters, and its ending."
There is a name for what you describe already.
If you think of it as a mix of a novel and a game and the "game" part is merely choosing the direction that the story takes, then Alcyone: The Last City is a visual novel.
So just call it a visual novel and most of people will understand what it is.
Though, not everyone is accustomed to visual novels so you might want to explain in your description:
"Alcyone: The Last City (pronounced Al-Sigh-O-Knee!) is a sci-fi visual novel set in the last City in the universe. What's a"visual novel"? It's sort of a novel whose you choose the direction that the story takes and your choices heavily impact the plot, characters, and its ending."
And that's it, all simple, ready to go. ;-)
Also, you might want to replace "player" with "reader" to be accurate as it is not a game, it is a novel, a visual novel to be accurate. ;-)