USA vs. Monaco

Inspired by this thread, and to a lesser extent this one, here’s my question…

The premises of the question (which are beyond the scope of this discussion) are as follows:

You are the Mad Prince of Monaco. With your army of 500,000 Giant Killer Robots, your Orbital Death Ray Satellite (which can target and destroy any area of the Earth’s surface within 90 minutes), and your elite corps of Beautiful Lesbian Seductress Assassins, what steps would you take to defeat your hated arch-rival, the Prince of Liechtenstein, given that the Prince of Liechtenstein has (under the provisions of the 29th Amendment to the U.S. Constitution) just been elected President and Supreme Dictator for Life of America, and is therefore commander-in-chief of all NATO forces?