fix(state): gate list fetches on server capability (#1350) (#1395)

The four list-fetching state managers fired their list RPC against every
server on connect regardless of advertised capabilities, so a server that
doesn't implement a given primitive replied -32601 "Method not found",
surfacing in the console on every connect. Mirrors the `tasks`-capability
gate added for ManagedRequestorTasksState in #1349.

- managedToolsState        → gate on capabilities.tools
- managedPromptsState      → gate on capabilities.prompts
- managedResourcesState    → gate on capabilities.resources
- managedResourceTemplatesState → gate on capabilities.resources
  (the spec defines no separate resourceTemplates capability;
  resources/templates/list is part of the resources surface)

When the capability is absent each manager sets an empty list, dispatches
its change event, and returns — the right semantics for "this server
doesn't support X."

Tests: existing flow tests now construct their FakeInspectorClient with
the relevant capability so the live list path is still exercised; added a
"refresh skips listX when capability absent" and a "connect against an
X-less server doesn't fire listX" test per manager. Updated the
useManagedX peers and resourceSubscriptionsState (which drives a
ManagedResourcesState refresh) to advertise the capability too.

Co-authored-by: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

core/mcp/state/managedToolsState.ts

@@ -67,6 +67,16 @@ export class ManagedToolsState extends TypedEventTarget<ManagedToolsStateEventMa
     if (!client || client.getStatus() !== "connected") {
       return this.getTools();
     }
+    // Gate on the server's `tools` capability — calling tools/list against a
+    // server that doesn't advertise it returns -32601 "Method not found",
+    // which then surfaces in the console for every connect against a
+    // tools-less server. Empty list is the right semantics for "this server
+    // doesn't support tools."
+    if (!client.getCapabilities()?.tools) {
+      this.tools = [];
+      this.dispatchTypedEvent("toolsChange", this.tools);
+      return this.getTools();
+    }
     const effectiveMetadata = metadata ?? this._metadata;
     this.tools = [];
     let cursor: string | undefined;