fix(websearch): improve settings UI and hide config when globally disabled

- API Key show/copy buttons moved inside input field (inline icons)
- Proxy selector and test button on same row to save vertical space
- Test opens a dialog modal instead of inline display
- Hide all websearch config in channels/accounts when global toggle is off

frontend/src/components/account/CreateAccountModal.vue

@@ -2325,9 +2325,9 @@
         </div>
       </div>
 
-      <!-- Anthropic API Key: Web Search Emulation -->
+      <!-- Anthropic API Key: Web Search Emulation (hidden when global disabled) -->
       <div
-        v-if="form.platform === 'anthropic' && accountCategory === 'apikey'"
+        v-if="form.platform === 'anthropic' && accountCategory === 'apikey' && webSearchGlobalEnabled"
         class="border-t border-gray-200 pt-4 dark:border-dark-600"
       >
         <div class="flex items-center justify-between">
@@ -2998,6 +2998,12 @@ const openaiAPIKeyResponsesWebSocketV2Mode = ref<OpenAIWSMode>(OPENAI_WS_MODE_OF
 const codexCLIOnlyEnabled = ref(false)
 const anthropicPassthroughEnabled = ref(false)
 const webSearchEmulationEnabled = ref(false)
+const webSearchGlobalEnabled = ref(false)
+
+// Load web search global state once
+adminAPI.settings.getWebSearchEmulationConfig().then(cfg => {
+  webSearchGlobalEnabled.value = cfg?.enabled === true && (cfg?.providers?.length ?? 0) > 0
+}).catch(() => { webSearchGlobalEnabled.value = false })
 const mixedScheduling = ref(false) // For antigravity accounts: enable mixed scheduling
 const allowOverages = ref(false) // For antigravity accounts: enable AI Credits overages
 const antigravityAccountType = ref<'oauth' | 'upstream'>('oauth') // For antigravity: oauth or upstream