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Broader terms like narrative games can mean lots of things, so it's harder for people to correct or confirm them. A visual novel though can be any size or length - the word count is important to denote for players to know around how long the game is, but visual novels can be 1k words or 100k words. There's even an annual game jam called O2A2 on itchio focused on making micro visual novels under 1k words with minimal assets. When counting the word count for a VN, it includes every path and choice. Engines like Ren'Py come pre-built with ways to check this such as the Lint function which will tell you the entire word count.