Sure! Here's a simple game where you need to click a button, but each time you do, it moves and gains a random ability to fight non-player characters. This game is designed for smartphone operation and uses pictograms.
Please note that due to the limitations of the text-based format, I won't be able to provide the complete interactive experience of an actual game. However, I'll give you the code structure and logic to implement in an HTML file.
To run this game, copy the above code and save it as an HTML file (e.g., `button_game.html`). Then, open the file in a web browser on your smartphone. You will see a button initially labeled "Click me!". Each time you click the button, it will move to a random position on the screen and gain a random ability (Fire, Water, or Electricity). Repeat the process to continue playing and exploring different abilities.
Please note that for a fully interactive and visually appealing game, you would need additional CSS styles, graphics, and further game logic. However, the above code serves as a starting point for the game you described.