feat(core-shared): extend wireUseCase with analytics arg and Analyzed brand propagation

Add AnalyticsProtocol to bind-protocols, extend WireUseCaseOptions with
optional analytics field, and compose the __analyzed brand inline in
wireUseCase (innermost, before withAudit) when analytics is provided.

Propagate __analyzed through withCapture and withSpan PROPAGATED_BRANDS
so the outermost container binding carries the brand for boot-time
assertion checks (Story 05).

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

packages/core-shared/src/instrumentation/with-capture.ts

@@ -28,7 +28,11 @@ export function withCapture<Args extends unknown[], R>(
   tags: Record<string, string>,
   fn: (...args: Args) => Promise<R>,
 ): Captured<(...args: Args) => Promise<R>> {
-  const PROPAGATED_BRANDS = ["__instrumented", "__audited"] as const;
+  const PROPAGATED_BRANDS = [
+    "__instrumented",
+    "__audited",
+    "__analyzed",
+  ] as const;
 
   const wrapped: (...args: Args) => Promise<R> = async (...args) => {
     try {

packages/core-shared/src/instrumentation/with-span.ts

@@ -2,7 +2,7 @@ import type { ITracer, SpanOpts } from "./tracer.interface";
 import type { Instrumented } from "../conformance/brands";
 import { attachBrand } from "../conformance/brand-runtime";
 
-const PROPAGATED_BRANDS = ["__captured", "__audited"] as const;
+const PROPAGATED_BRANDS = ["__captured", "__audited", "__analyzed"] as const;
 
 export function withSpan<Args extends unknown[], R, Extra extends object>(
   tracer: ITracer,