Preheat oven to 350°.
Coat a 9-inch round cake pan with cooking spray, and line with parchment paper. Set pan aside.
Bring 1 1/3 cups water to a boil in a saucepan; remove from heat and add tea bags. Cover and let steep 2 minutes; discard tea bags. Remove 1/2 cup tea from pan, and pour into a shallow bowl; place in freezer 10 minutes or until cool (do not freeze). Reserve remaining tea in pan.
Combine 2 tablespoons water and cornstarch in a small bowl; add to remaining tea in pan. Stir in sugar. Bring to a boil over medium-high heat, stirring constantly. Boil 1 minute or until mixture thickens. Remove from heat; stir in almond extract, and set aside.
Combine cake mix, egg white, and 1/2 cup cooled tea. Beat with a mixer at low speed 30 seconds; beat at medium speed 3 minutes. Pour batter into prepared pan. Bake at 350° for 17 minutes or until a wooden pick inserted in center comes out clean. Cool cake in pan 10 minutes on a wire rack. Remove from pan, and carefully peel off parchment paper. Cool completely on a wire rack.
Place cake on a plate. Arrange pear slices in a spoke pattern on top. Spoon glaze over pear, allowing some to run over sides. Sprinkle with almonds. Refrigerate, uncovered, until ready to serve.