Let $\mathcal{A}$ be an $Ab4$ category. Define $\mathrm{Ext}^{n}(,):\mathcal{A}^{op}\times\mathcal{A}\rightarrow Ab$ bifunctor using nextensions. Consider $A$ an object of $\mathcal{A}$. Does $\mathrm{Ext}^{n}(,A)$ preserve products?
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