In a sauce pot, whisk the cocoa powder and ¼ cup of the coconut milk together until it forms a paste
Add the rest of the ingredients (including the remaining coconut milk), except the booze.
Heat on medium-low, whisking constantly, until the cocoa powder mixture is totally dissolved and the cocoa is heated through.
Serve immediately. If you're not planning to serve all of the cocoa right away, turn off the heat, and just turn the stove on to heat it back up when you're ready to ladle out a mug or two.