fix Gemini image base and provider docs

tests/providers/test_image_generation.py

@@ -348,6 +348,11 @@ async def test_gemini_requires_api_key() -> None:
         await client.generate(prompt="draw", model="imagen-4.0-generate-001")
 
 
+def test_gemini_image_client_uses_native_api_base_by_default() -> None:
+    client = GeminiImageGenerationClient(api_key="AIza-test")
+    assert client.api_base == "https://generativelanguage.googleapis.com/v1beta"
+
+
 @pytest.mark.asyncio
 async def test_gemini_no_images_raises() -> None:
     fake = FakeClient(FakeResponse({"candidates": [{"content": {"parts": [{"text": "sorry"}]}}]}))

tests/providers/test_litellm_kwargs.py

@@ -449,6 +449,12 @@ def test_gemma_routes_to_gemini_provider() -> None:
     assert "gemma" in spec.keywords
 
 
+def test_gemini_spec_keeps_openai_compat_base() -> None:
+    spec = find_by_name("gemini")
+    assert spec is not None
+    assert spec.default_api_base == "https://generativelanguage.googleapis.com/v1beta/openai/"
+
+
 async def test_openrouter_sets_default_attribution_headers() -> None:
     spec = find_by_name("openrouter")
     with patch("nanobot.providers.openai_compat_provider.AsyncOpenAI") as mock_client_cls: