Strawberry Cream Cheese Icebox Cake

2 pounds strawberries
2 sleeves graham crackers
1 (8-ounce) package cream cheese, room temperature
1 (14-ounce) can sweetened condensed milk
2 (3.4 ounce) packages instant cheesecake flavored pudding
3 cups milk
1 (12-ounce) carton Cool Whip, divided

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