Line a baking sheet with parchment paper and set aside briefly.
In the bowl of a stand mixer, beat the butter, corn syrup and extracts together on medium-high speed for 3 minutes or until fluffy and well combined. Beat in the powdered sugar slowly to incorporate, then on high until completely blended.
Roll a teaspoon or so of dough in your hands to form a ball and place on the baking sheet. Repeat with remaining dough, then with your fingers, gently press down to form a patty. Freeze the patties for about 30 minutes or until firm.
Melt the candy coating according to package directions until smooth. Dip the peppermint patties into the chocolate using a fork and allowing excess chocolate to drip off. I like to dip the fork tines in the chocolate before dipping to ensure the sticky patty doesn't stick to the fork's tines. Gently push the coated patty off of the fork using a toothpick and, if using a garnish, sprinkle while the chocolate's wet.
Allow patties to set before serving.