Sure! Here is a sample solution for the game you described. Please note that this is a simplified version and may not have all the advanced features you mentioned.
Cheese Maze Game
You can copy and paste this code into a new HTML file, save it with a .html extension, and open the file in a web browser to play the game. Use the arrow keys (up, down, left, right) to move the Cheese emoji, and try to avoid the Mouse emoji. If the Mouse emoji reaches you, you lose. If you manage to trap the Mouse emoji before it reaches you, you win. The game will display appropriate messages at the end based on your result.