With the metric finiteness properties of affinoid algebra norm, here the upper bound for metric extension of a Fubini-Study metric is much better than what was expected, compared to (3) or even to (2), for its (in)depence on $n\in\mathbb{N}$. This independence suggest that it would be reasonable to compare this affinoid algebra technique in this non-Archimedean setting with the use of Ohsawa-Takegoshi $L^{2}$ extension technique in the complex analytic setting.