Q:Calculating value of $E((E(X|Y))^2)$

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Does anybody know what this calculates out to? Is it equivalent to $E(X^2)$?I’m mostly confused about how the exponent works inside the parenthesis.

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$E((E(X|Y))^2) -(E(E(X|Y)))^2= Var(E(X|Y)) \implies E((E(X|Y))^2)= Var(E(X|Y))+ (EX)^2 $