In another bowl, mix cream cheese and milk on low until smooth. Add butter, lemon juice, 1/4 cup sugar, flour, and cornstarch. Beat after each addition. Mix in egg yolks.
Fold in 1/3 of egg whites into batter, repeat until all is combined. Pour batter into pan. Smooth with spatula. Tap pan gently 6-7 times to remove air bubbles.
Bake in water bath for 70 mins. For a brown top, bake 10-15 mins more. Turn off oven, open door slightly. Cool cake inside for 1 hr. Remove cake from pan, refrigerate for 4-5 hrs.