The brand under which an errorHandler middleware function carries its
resolved IErrorResponder.
Created with Symbol.for, not Symbol(), so two copies of this package in
one process resolve the same key — the same failure mode UPGRADE_INTENT guards against. The brand is the kernel's only route to the
resolved formatter: the drain 503, the malformed-request 400, and the
request-lifecycle hooks all run BEFORE the pipeline, where
errorHandler's ctx.state publication cannot reach them, and the kernel
may not import @setu-ts/exceptions (AI_GUIDELINES §2.2). The kernel reads
the brand off the compiled pipeline at startup and seeds the responder into
the state those sites hand to respondWithError.
The property is written non-enumerable and is an implementation detail of the
seam — not part of the MiddlewareFunction contract.