On codegree Turán density of the 3-uniform tight cycle $C_{11}$

Piga, Sanhueza-Matamala, and Schacht recently established that the codegree Turán density of 3-uniform tight cycles $C_{\mathrm{\ell }}$ is $1\mathrm{/}3$ for $\mathrm{\ell }\in \{10,13,16\}$ and for all $\mathrm{\ell }\ge 19$. In this note, we extend their proof to determine the codegree Turán density of the 3-uniform tight cycle $C_{11}$, thereby completing the picture for tight cycles of length at least 10.