Preheat the oven to 350 degrees.
Bring ½ cup of the broth to a boil in a small sauce pan. Stir in the stuffing mix and cover. Remove from heat and allow to sit, covered, for 5 minutes. Fluff with a fork.
Combine the ground turkey, egg, milk, minced onion, thyme, salt and pepper in a mixing bowl and stir until combined. Divide the ground turkey mixture into 8 equal pieces and flatten into thin patties (side note: ground turkey is sticky, so the mixture will be sticky – this is normal, just do the best you can). Divide the prepared stuffing into four parts and place the stuffing in the center of four of the patties. Cover those patties with the remaining patties and press the edges together to seal the stuffing inside the meat patties.
Place the turkey bundles in a 9x13 baking dish and bake for 35-40 minutes until cooked through.
While the bundles are baking (with about 15 minutes left in the cook time), bring the butter over medium heat in a medium saucepan until melted. Add the flour a little at a time, whisking it into the butter until combined. Cook for 2-3 minutes, stirring regularly. Reduce the heat to low and add the remaining 2 cups of broth a little at a time, whisking it into the flour mixture until smooth and well combined. Add the Better Than Bouillon paste and Gravy Master sauce. Increase the heat to medium and stir regularly until the gravy boils and thickens. Remove from heat and allow to sit for at least 5 minutes. The gravy will thicken upon standing.
Serve each stuffed turkey bundle with ½ cup of gravy.