Serve the read verbs on the serving controller's own connection, and name every connection

Each verb ran as a process that dialled the bus, so hundreds of short
connections an hour, all named mesh-controller, hid any client reconnecting
in a loop (hq issue 327). D15 now says a user whose connections keep dropping.

cmd/mesh-controller/rollout.go

@@ -131,7 +131,10 @@ func readinessOf(ctx context.Context, inv *inventory.Inventory) (broker.Readines
 		// **Dialled the way the mesh dials it** — credential and pin — because a bare connect to a
 		// bus that requires TLS and a user fails at the handshake, and the check then reported a
 		// standing server as absent (seen live, 2026-09-28).
-		if js, err := broker.Dial(address, nats.Timeout(5*time.Second)); err == nil {
+		// The serving controller's own connection answers it without a second (novox/hq issue 327).
+		if serving := servingBus.Load(); serving != nil && serving.Conn().IsConnected() {
+			state.ServerStanding = true
+		} else if js, err := broker.Dial(address, nats.Timeout(5*time.Second)); err == nil {
 			state.ServerStanding = true
 			js.Close()
 		}