feat(search): add ollama-search and zai-search with credential fallback

Register two web search providers that reuse an existing chat provider's
API key instead of requiring their own connection:

- ollama-search (POST ollama.com/api/web_search) reuses the `ollama` key
- zai-search (POST api.z.ai MCP web_search_prime) reuses the `glm` key

A new `credentialFallback` registry field drives this: when a search
provider has no connection of its own, the search handler falls back to
the linked chat provider's credentials.

Also teach getProviderIconSrc to serve .svg logos for providers that
ship vector art.

open-sse/handlers/search/callers.js

@@ -374,6 +374,54 @@ function buildXquikRequest(config, params) {
   };
 }
 
+// ── Ollama Cloud web_search ──────────────────────────────────────────────
+// POST https://ollama.com/api/web_search { query, max_results }
+// Response: { results: [{ title, url, content, published_at? }] }
+function buildOllamaSearchRequest(config, params) {
+  const body = { query: params.query, max_results: params.maxResults };
+  if (params.country) body.country = params.country;
+  if (params.language) body.language = params.language;
+  return {
+    url: resolveBaseUrl(config, params),
+    init: {
+      method: "POST",
+      headers: {
+        "Content-Type": "application/json",
+        ...(params.token ? { Authorization: `Bearer ${params.token}` } : {}),
+      },
+      body: JSON.stringify(body),
+    },
+  };
+}
+
+// ── Z.AI Coding plan MCP web_search_prime ─────────────────────────────────
+// POST https://api.z.ai/api/mcp/web_search_prime/mcp
+// JSON-RPC envelope: { jsonrpc, id, method: "tools/call",
+//   params: { name: "web_search_prime", arguments: { search_query, count } } }
+// Response: { result: { content: [{ type: "text", text: "<json>" }] } }
+function buildZaiSearchRequest(config, params) {
+  const body = {
+    jsonrpc: "2.0",
+    id: `9r-${Date.now()}`,
+    method: "tools/call",
+    params: {
+      name: "web_search_prime",
+      arguments: { search_query: params.query, count: params.maxResults },
+    },
+  };
+  return {
+    url: resolveBaseUrl(config, params),
+    init: {
+      method: "POST",
+      headers: {
+        "Content-Type": "application/json",
+        ...(params.token ? { Authorization: `Bearer ${params.token}` } : {}),
+      },
+      body: JSON.stringify(body),
+    },
+  };
+}
+
 // ── Dispatcher ──────────────────────────────────────────────────────────
 
 const BUILDERS = {
@@ -388,6 +436,8 @@ const BUILDERS = {
   "youcom": buildYouComRequest,
   "searxng": buildSearxngRequest,
   "xquik": buildXquikRequest,
+  "ollama-search": buildOllamaSearchRequest,
+  "zai-search": buildZaiSearchRequest,
 };
 
 /**