Disables AimEligibilityService. (#30912)

The service reaches out to google and we already disabled AI Mode
anyway.

chromium_src/components/omnibox/browser/aim_eligibility_service.cc

@@ -0,0 +1,16 @@
+/* Copyright (c) 2025 The Brave Authors. All rights reserved.
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this file,
+ * You can obtain one at https://mozilla.org/MPL/2.0/. */
+
+#include "base/feature_override.h"
+
+#include <components/omnibox/browser/aim_eligibility_service.cc>
+
+namespace {
+
+OVERRIDE_FEATURE_DEFAULT_STATES({{
+    {kAimEnabled, base::FEATURE_DISABLED_BY_DEFAULT},
+}});
+
+}  // namespace