On gamma factors of Rankin-Selberg integrals for $\mathrm{U}_{2 \ell} \times \mathrm{Res}_{E/F} \mathrm{GL}_n$

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On gamma factors of Rankin-Selberg integrals for \(\mathrm{U}_{2 \ell} \times \mathrm{Res}_{E/F} \mathrm{GL}_n\)