Place the tea bags, cinnamon, ginger, and allspice in the coffee filter of a drip coffee maker.
Add water to the coffee maker and brew the tea according to the manufacturer's directions.
While the tea is brewing, in a small saucepan, combine the milk, brown sugar, and French Vanilla Nondairy Creamer.
Cook and stir the milk mixture over medium heat until it is heated through, and the sugar is completely dissolved.
Once the tea is ready, pour the milk mixture into mugs.
Stir the brewed tea into the milk mixture in the mugs.
Top each mug with a dollop of whipped topping.
Sprinkle a bit of ground nutmeg on top for added flavor.
Enjoy your homemade Panera Chai Tea Latte!