The functor isn't right exact. For example, $\mathrm{Ext}^1(A,\mathbb{G}_m)\simeq H^1(A,\mathcal{O}_A^{\times})$.
anon
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The functor isn't right exact. For example, $\mathrm{Ext}^1(A,\mathbb{G}_m)\simeq H^1(A,\mathcal{O}_A^{\times})$.