Label request metrics by route, not by path (closes #254)

The metrics middleware gave the handler label each request's path, so
every new path added series that were never removed, and /metrics
listed encrypted URL tokens. The label is now the pattern of the chi
route the request matches, or "unmatched" for one that matches none.
The metrics library takes the label before calling the handler, so the
middleware asks the router with chi's Find which route matches.

The existing TestMetricsRecordsServedRequest now fails: it serves a
request outside any router and expects handler="/test", the path.
Changing it needs the owner's approval.

Model: opus-5-5

internal/middleware/middleware.go

@@ -11,6 +11,7 @@ import (
 	"time"
 
 	basicauth "github.com/99designs/basicauth-go"
+	"github.com/go-chi/chi/v5"
 	"github.com/go-chi/chi/v5/middleware"
 	"github.com/go-chi/cors"
 	"github.com/go-chi/httprate"
@@ -214,7 +215,11 @@ func (s *Middleware) CORS() func(http.Handler) http.Handler {
 	})
 }
 
-// Metrics returns a Prometheus metrics middleware.
+// Metrics returns a Prometheus metrics middleware. Its handler label is the
+// pattern of the chi route a request matches, such as /v1/image/*, or
+// "unmatched" for a request that matches none, so the routes fix how many
+// values the label has. It is never the path, with which any client could
+// add series to the registry without limit.
 func (s *Middleware) Metrics() func(http.Handler) http.Handler {
 	mdlw := ghmm.New(ghmm.Config{
 		Recorder: metrics.NewRecorder(metrics.Config{
@@ -223,10 +228,37 @@ func (s *Middleware) Metrics() func(http.Handler) http.Handler {
 	})
 
 	return func(next http.Handler) http.Handler {
-		return std.Handler("", mdlw, next)
+		return http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
+			std.Handler(routePattern(r), mdlw, next).ServeHTTP(w, r)
+		})
 	}
 }
 
+// routePattern returns the pattern of the chi route r matches, or
+// "unmatched" when it matches none or is not served by a chi router. The
+// metrics library takes the label before the request is routed, so the
+// router is asked which route matches, with the path it routes on:
+// r.URL.RawPath when set, else r.URL.Path.
+func routePattern(r *http.Request) string {
+	pattern := ""
+
+	rctx := chi.RouteContext(r.Context())
+	if rctx != nil {
+		path := r.URL.RawPath
+		if path == "" {
+			path = r.URL.Path
+		}
+
+		pattern = rctx.Routes.Find(chi.NewRouteContext(), r.Method, path)
+	}
+
+	if pattern == "" {
+		return "unmatched"
+	}
+
+	return pattern
+}
+
 // MetricsAuth returns a basic auth middleware for the metrics endpoint.
 func (s *Middleware) MetricsAuth() func(http.Handler) http.Handler {
 	return basicauth.New(