Preheat oven to 350°.
Lightly spoon flour into a dry measuring cup; level with a knife. Combine flour and next 4 ingredients (flour through salt) in a large bowl; stir well with a whisk. Add butter, egg whites, and egg; beat with a mixer at low speed 1 minute. Beat at high speed 1 minute. Add milk, espresso granules, and vanilla; beat 1 minute. Pour batter into a 6-cup Bundt pan coated with cooking spray.
Bake at 350° for 35 to 40 minutes or until a wooden pick inserted near the center comes out clean. Cool in pan 10 minutes. Remove from pan; cool completely on a wire rack.