The X-I-ST next residual is not canceled

Let

For the specified polynomial representative,

Indeed, the additional vertex has no antifields, its self-bracket is zero, and its bracket with the kinematic lift is $s{V}_a=\kappa {\mathcal{B}}_a$.

No report channel modifies (eq:oldresidual). A supplied real coefficient of this odd residual is a possible finite task, not a physical ghost observable.