fix(dashboard): cut duplicate API/icon spam, lazy-load provider assets

Share one /api/models fetch via useModelCaps cache, mount ModelSelectModal
only when open, stop double fetchModelAliases on CLI tool cards, and resolve
provider icons through a session 404 cache with missing PNGs + loading=lazy.
Also include Claude Exa MCP toggle (claude-settings + ClaudeToolCard) that
was already in the working tree.

Co-authored-by: Cursor <cursoragent@cursor.com>

src/app/(dashboard)/dashboard/providers/page.js

@@ -10,6 +10,7 @@ import {
   Toggle,
 } from "@/shared/components";
 import ProviderIcon from "@/shared/components/ProviderIcon";
+import { getProviderIconSrc } from "@/shared/utils/providerIcon";
 import { OAUTH_PROVIDERS, APIKEY_PROVIDERS } from "@/shared/constants/config";
 import {
   FREE_PROVIDERS,
@@ -756,12 +757,12 @@ function ApiKeyProviderCard({
   };
 
   const getIconPath = () => {
-    if (isCompatible)
+    if (isCompatible && provider.apiType)
       return provider.apiType === "responses"
         ? "/providers/oai-r.png"
         : "/providers/oai-cc.png";
     if (isAnthropicCompatible) return "/providers/anthropic-m.png";
-    return `/providers/${provider.id}.png`;
+    return getProviderIconSrc(provider.id);
   };
 
   return (