Remove and discard giblets from turkey, reserving neck for gravy. Rinse turkey with cold water; pat dry. Trim excess fat. Starting at neck cavity, loosen skin from breast and drumsticks by inserting fingers, gently pushing between skin and meat. Lift wing tips up and over back; tuck under turkey. Rub spice mixture under loosened skin; rub into the body cavity.
Preheat oven to 350°.
Pour 1 can of broth in bottom of a shallow roasting pan. Place turkey, breast side up, on a rack coated with cooking spray. Place rack in roasting pan. Insert meat thermometer into meaty part of thigh, making sure not to touch bone. Bake at 350° for 1 1/2 hours. Carefully pour 1 can of broth into pan. Bake an additional 1 1/2 hours or until thermometer registers 180°. Remove turkey from oven; reserve pan drippings to make gravy. Cover turkey loosely with foil; let stand 15 to 20 minutes. Discard skin. Serve with Wild-Mushroom Gravy.