Input statement: X-A, convolution regulator: release

For the frozen switched action, spacetime-convolution regulator, Cauchy prescription, and plateau-supported gauge algebra, the relational scalar fails gauge invariance at order $\kappa$. The decisive identity is $E_{0}C{T}_{g,\epsilon }(K\xi )=S_{\epsilon }\xi \ne \xi$, with witness smearing $c_{\epsilon }>0$. There is no cleared classical gauge-invariant handoff. A changed regulator is a new problem XAconv.