test: deduplicate proxy value and construct tool via constructor

- Use a local variable for the proxy URL instead of hardcoding it twice
- Pass proxy through the WebSearchTool constructor instead of mutating
  after instantiation (matches real usage path)
- Add assertion that timeout is still forwarded correctly
- Use generic mock data instead of test-specific strings

tests/tools/test_web_search_tool.py

@@ -369,21 +369,25 @@ async def test_duckduckgo_search(monkeypatch):
 async def test_duckduckgo_search_passes_proxy(monkeypatch):
     """DDGS client must receive the configured proxy so search works behind a proxy."""
     captured: dict = {}
+    proxy_url = "http://proxy.example:8080"
 
     class ProxyCaptorDDGS:
         def __init__(self, **kw):
             captured.update(kw)
 
         def text(self, query, max_results=5):
-            return [{"title": "Proxied", "href": "https://ddg.example", "body": "OK"}]
+            return [{"title": "Result", "href": "https://example.com", "body": "OK"}]
 
     monkeypatch.setattr("ddgs.DDGS", ProxyCaptorDDGS)
 
-    tool = _tool(provider="duckduckgo")
-    tool.proxy = "http://192.168.1.1:8080"
-    result = await tool.execute(query="hello")
-    assert captured.get("proxy") == "http://192.168.1.1:8080"
-    assert "Proxied" in result
+    tool = WebSearchTool(
+        config=WebSearchConfig(provider="duckduckgo"),
+        proxy=proxy_url,
+    )
+    result = await tool.execute(query="test")
+    assert captured["proxy"] == proxy_url
+    assert captured["timeout"] == 10
+    assert "Result" in result
 
 
 @pytest.mark.asyncio