Search for the singlet vector-like top quark in the <inline-formula><tex-math id="M1">\begin{document}$ {\boldsymbol T\boldsymbol\to{\boldsymbol {tZ}}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2022-0579_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2022-0579_M1.png"/></alternatives></inline-formula> channel with <inline-formula><tex-math id="M2">\begin{document}$ {{\boldsymbol Z}{\bf\to} \boldsymbol\nu\bar{\boldsymbol\nu}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2022-0579_M2.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2022-0579_M2.png"/></alternatives></inline-formula> at hadron colliders

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