Full Lutz twist along the binding of an open book

Let T denote a binding component of an open book $${(\Sigma, \phi)}$$ compatible with a closed contact 3-manifold (M, ξ). We describe an explicit open book $${(\Sigma', \phi')}$$ compatible with (M, ζ), where ζ is the contact structure obtained from ξ by performing a full Lutz twist along T. Here, $${(\Sigma', \phi')}$$ is obtained from $${(\Sigma, \phi)}$$ by a local modification near the binding.