fix(ingestion): build /mcp's bearer and the metrics wrap inside buildMux

/mcp's bearer was built in main.go and the buildMux tests used stubs, so
dropping it would have kept CI green. buildMux now takes the MCP handler
and wraps it with the same BearerMiddleware and credential as the REST
API. "/mcp" and "GET /metrics" left the public allowlist, so passing
either as a public route is refused. buildMux also registers GET
/metrics and returns the metrics-wrapped handler, so main passes its
result to ListenAndServe unchanged.

Flip-tested: registering /mcp unwrapped turns
TestBuildMuxRefusesMCPWithoutAValidToken red, and dropping the metrics
wrap turns the four metrics tests red.

Comments now claim only what is tested. The ListenAndServe line and the
symlink tripwire wiring in main (#154 comment) are still untested and
tracked in #182.

Closes #154

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

ingestion/cmd/server/routes.go

@@ -8,22 +8,22 @@ import (
 	chassisauth "git.d-ma.be/mathias/mcp-chassis/auth"
 
 	"github.com/mathiasbq/hyperguild/ingestion/internal/api"
+	"github.com/mathiasbq/hyperguild/ingestion/internal/metrics"
 )
 
-// publicRoutes is the complete set of patterns allowed on the outer mux,
-// outside the REST API's auth (hyperguild#149). Each authenticates itself or is
-// meant to be open: /mcp (bearer/JWT), /capture (bearer/JWT), the webhook
-// (HMAC), /oauth/token (client secret), OAuth metadata and /metrics (open).
-// A REST pattern added here would beat the authenticated catch-all by
-// specificity and ship open, which is why buildMux refuses anything else.
+// publicRoutes is the complete set of patterns a caller may register on the
+// outer mux, outside the REST API's auth (hyperguild#149). Each authenticates
+// itself or is meant to be open: /capture (bearer/JWT), the webhook (HMAC),
+// /oauth/token (client secret) and OAuth metadata (open). /mcp and /metrics
+// are not here: buildMux builds them itself (hyperguild#154). A REST pattern
+// added here would beat the authenticated catch-all by specificity and ship
+// open, which is why buildMux refuses anything else.
 var publicRoutes = map[string]bool{
-	"/mcp":                      true,
 	"POST /capture":             true,
 	"POST /webhooks/brain-sync": true,
 	"GET /.well-known/oauth-protected-resource":   true,
 	"GET /.well-known/oauth-authorization-server": true,
 	"POST /oauth/token":                           true,
-	"GET /metrics":                                true,
 }
 
 // restAuth is the credential the REST API checks: the same as /mcp's.
@@ -34,16 +34,24 @@ type restAuth struct {
 	resourceMetadataURL string
 }
 
-// buildMux is the server's whole router. The REST API is mounted at "/"
-// behind bearer auth that buildMux constructs itself, so a caller cannot pass
-// a no-op; public handlers are registered as given, and only for patterns on
-// the publicRoutes allowlist. It returns an http.Handler, not the
-// *ServeMux, so nothing can register a route on the result afterwards and
-// bypass the allowlist.
-func buildMux(auth restAuth, h *api.Handler, public map[string]http.Handler) (http.Handler, error) {
+// buildMux builds the handler main passes to ListenAndServe unchanged. The
+// REST API is mounted at "/" and /mcp is registered, both behind bearer auth
+// that buildMux constructs itself from auth (one credential), so a caller
+// cannot pass a no-op. GET /metrics serves reg, and the whole router is
+// wrapped in reg's middleware. Other public handlers are registered as given,
+// and only for patterns on the publicRoutes allowlist. It returns an
+// http.Handler, not the *ServeMux, so nothing can register a route on the
+// result. What stays untested is main's own line: a handler main built around
+// this one before ListenAndServe would not be seen by these tests.
+func buildMux(
+	auth restAuth, h *api.Handler, mcpHandler http.Handler, reg *metrics.Registry, public map[string]http.Handler,
+) (http.Handler, error) {
 	if auth.token == "" {
 		return nil, errors.New("buildMux: REST auth needs a token")
 	}
+	if mcpHandler == nil || reg == nil {
+		return nil, errors.New("buildMux: needs the MCP handler and the metrics registry")
+	}
 	mux := http.NewServeMux()
 	for pattern, handler := range public {
 		if !publicRoutes[pattern] {
@@ -51,10 +59,15 @@ func buildMux(auth restAuth, h *api.Handler, public map[string]http.Handler) (ht
 		}
 		mux.Handle(pattern, handler)
 	}
-	mountREST(mux, h, func(next http.Handler) http.Handler {
+	bearer := func(next http.Handler) http.Handler {
 		return chassisauth.BearerMiddleware(auth.token, auth.validator, auth.realm, auth.resourceMetadataURL, next)
-	})
-	return mux, nil
+	}
+	mux.Handle("/mcp", bearer(mcpHandler))
+	// /metrics is registered on the mux and so observed by its own
+	// middleware, like any route.
+	mux.Handle("GET /metrics", reg.Handler())
+	mountREST(mux, h, bearer)
+	return reg.Middleware(mux), nil
 }
 
 // mountREST registers the REST API on its own mux and mounts it at "/" behind