Adiabatic evolution of Hayward black hole

In this letter we use the Carath\'{e}odory's approach to thermodynamics, construct thermodynamic manifold of Hayward black hole. The Pfaffian form representing infinitesimal heat exchange reversibly is considered be $\delta Q_{\mathrm{rev}}\equiv {\rm d}r_s-\mathcal{F}_H d}l$, previously obtained by Molina \& Villanueva \cite{fmv20}, where $r_s$ Schwarzschild radius, $l$ Hayward's parameter responsible for possible regularization hole, and $\mathcal{F}_H$ intensive variable called force. By solving associated Cauchy problem, adiabatic paths are confined non-extremal manifold, therefore, status second third laws preserved. Consequently, extremal sub-manifold corresponds {adiabatically disconnected} boundary manifold. addition, merger two holes analyzed.