Skyline Despot

Being the monarch carries two inherent triggered abilities. “At the beginning of the monarch's end step, that player draws a card” and “Whenever a creature deals combat damage to the monarch, its controller becomes the monarch.”

The last ability of Skyline Despot checks to see if you're the monarch as your upkeep begins. If you're not, the ability won't trigger at all. You won't be able to do anything that would make you the monarch during your upkeep in time to have that ability trigger. The ability will also check to see if you're the monarch as it tries to resolve. If you're not the monarch at that time, the ability will have no effect.

If the triggered ability that causes the monarch to draw a card goes on the stack, and a different player becomes the monarch before that ability resolves, the first player will still draw the card.