Combine the first 6 ingredients in a blender. Blend until smooth.
Transfer to an ice cream maker and freeze according to the manufacturer's instructions.
Add the tablet pieces during the last two minutes of churning.
Transfer to a freezer-safe container and freeze until firm.
Notes
Half and Half - The half and half can be replaced with 1 cup whole milk and 1 cup heavy cream, if desired.Egg Yolks - If you are concerned about using raw egg yolks in ice cream you can purchase pasteurized eggs or temper the ice cream base.