Sure! Here's a simple example of a game about AI taking over in 3D. Please note that this is a basic implementation to give you an idea and may not include complex gameplay mechanics or advanced graphics. Additionally, as a text-based AI, I'm unable to provide a complete HTML file. You can copy the JavaScript code below and enclose it within your HTML file's script tags.
In the above code, we start with a cutscene displaying the message "Cutscene: A computer is hacked by an AI app!" for 3 seconds. After that, the game starts, displaying the message "Welcome to the AI Takeover Game!".
To enhance the gameplay, you can add 3D graphics, user controls, various game elements, and interactions as per your requirements.