Report provider-specific search API keys correctly (#1202)

* fix(search): report provider-specific API keys

* fix(search): include provider env keys in status

tests/test_search_config_provider_key.py

@@ -0,0 +1,55 @@
+from services.search import core, providers
+
+PROVIDER_ENV_KEYS = (
+    "DATA_BRAVE_API_KEY",
+    "GOOGLE_API_KEY",
+    "TAVILY_API_KEY",
+    "SERPER_API_KEY",
+)
+
+
+def _config(monkeypatch, settings):
+    for env_name in PROVIDER_ENV_KEYS:
+        monkeypatch.delenv(env_name, raising=False)
+    monkeypatch.setattr(core, "_get_search_settings", lambda: settings)
+    monkeypatch.setattr(providers, "_get_search_settings", lambda: settings)
+    return core.get_search_config()
+
+
+def test_search_config_detects_active_provider_specific_key(monkeypatch):
+    config = _config(monkeypatch, {
+        "search_provider": "tavily",
+        "tavily_api_key": "tavily-key",
+    })
+
+    assert config["has_api_key"] is True
+
+
+def test_search_config_ignores_key_for_different_provider(monkeypatch):
+    config = _config(monkeypatch, {
+        "search_provider": "brave",
+        "tavily_api_key": "tavily-key",
+    })
+
+    assert config["has_api_key"] is False
+
+
+def test_search_config_keeps_legacy_shared_key_fallback(monkeypatch):
+    config = _config(monkeypatch, {
+        "search_provider": "serper",
+        "search_api_key": "legacy-key",
+    })
+
+    assert config["has_api_key"] is True
+
+
+def test_search_config_detects_provider_env_key(monkeypatch):
+    settings = {"search_provider": "tavily"}
+    for env_name in PROVIDER_ENV_KEYS:
+        monkeypatch.delenv(env_name, raising=False)
+    monkeypatch.setenv("TAVILY_API_KEY", "env-key")
+    monkeypatch.setattr(core, "_get_search_settings", lambda: settings)
+    monkeypatch.setattr(providers, "_get_search_settings", lambda: settings)
+
+    assert core.get_search_config()["has_api_key"] is True
+    assert providers._get_provider_key("tavily") == "env-key"