OREO Heads Or Tails "The Bombe"

pkg. (15.25 oz.) DOUBLE STUF OREO Heads Or Tails

pkg. (3.9 oz.) JELL-O Chocolate Flavor Instant Pudding

pkg. (3.3 oz.) JELL-O White Chocolate Flavor Instant Pudding

cold milk , divided

thawed COOL WHIP Whipped Topping , divided