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kernel of isogeny becomes constant after base change

Let $S = Spec(O_K)$ be the spectrum of the rings of integers of a number field $K$. Let $A/S \setminus T$ be an Abelian scheme over an open subscheme $S \setminus T \subseteq S$. Does the kernel of $n$-multiplication $A[n]$ become constant after a (non empty) étale base change $S' \to S \setminus \{x_1,\ldots,x_n\}$?