Add DELETE method support to /core/api proxy (#6521)

The Supervisor's /core/api proxy previously only supported GET and POST
methods, returning 405 Method Not Allowed for DELETE requests. This
prevented addons from calling Home Assistant Core REST API endpoints
that require DELETE methods, such as deleting automations, scripts,
or scenes.

The underlying proxy implementation already supported passing through
any HTTP method via request.method.lower(), so only the route
registration was needed.

Fixes #6509

Co-authored-by: Claude Sonnet 4.5 <noreply@anthropic.com>

supervisor/api/__init__.py

@@ -522,6 +522,7 @@ class RestAPI(CoreSysAttributes):
                 web.get("/core/api/stream", api_proxy.stream),
                 web.post("/core/api/{path:.+}", api_proxy.api),
                 web.get("/core/api/{path:.+}", api_proxy.api),
+                web.delete("/core/api/{path:.+}", api_proxy.api),
                 web.get("/core/api/", api_proxy.api),
             ]
         )

tests/api/test_proxy.py

@@ -254,3 +254,75 @@ async def test_api_proxy_get_request(
         assert response.status == 200
         assert await response.text() == "mocked response"
         assert response.content_type == "application/json"
+
+
+@pytest.mark.parametrize(
+    "path", ["config/automation/config/test_id", "services/light/turn_on"]
+)
+async def test_api_proxy_post_request(
+    api_client: TestClient,
+    install_addon_example: Addon,
+    request: pytest.FixtureRequest,
+    path: str,
+):
+    """Test the API proxy POST request."""
+    install_addon_example.persist[ATTR_ACCESS_TOKEN] = "abc123"
+    install_addon_example.data["homeassistant_api"] = True
+
+    request.param = "local_example"
+
+    with patch.object(HomeAssistantAPI, "make_request") as make_request:
+        # Mock the response from make_request
+        mock_response = AsyncMock()
+        mock_response.status = 200
+        mock_response.content_type = "application/json"
+        mock_response.read.return_value = b'{"result": "ok"}'
+        make_request.return_value.__aenter__.return_value = mock_response
+
+        response = await api_client.post(
+            f"/core/api/{path}",
+            headers={"Authorization": "Bearer abc123"},
+            json={"test": "data"},
+        )
+
+        assert make_request.call_args[0][0] == "post"
+        assert make_request.call_args[0][1] == f"api/{path}"
+
+        assert response.status == 200
+        assert await response.text() == '{"result": "ok"}'
+        assert response.content_type == "application/json"
+
+
+@pytest.mark.parametrize(
+    "path", ["config/automation/config/test_id", "states/light.test"]
+)
+async def test_api_proxy_delete_request(
+    api_client: TestClient,
+    install_addon_example: Addon,
+    request: pytest.FixtureRequest,
+    path: str,
+):
+    """Test the API proxy DELETE request."""
+    install_addon_example.persist[ATTR_ACCESS_TOKEN] = "abc123"
+    install_addon_example.data["homeassistant_api"] = True
+
+    request.param = "local_example"
+
+    with patch.object(HomeAssistantAPI, "make_request") as make_request:
+        # Mock the response from make_request
+        mock_response = AsyncMock()
+        mock_response.status = 200
+        mock_response.content_type = "application/json"
+        mock_response.read.return_value = b'{"result": "ok"}'
+        make_request.return_value.__aenter__.return_value = mock_response
+
+        response = await api_client.delete(
+            f"/core/api/{path}", headers={"Authorization": "Bearer abc123"}
+        )
+
+        assert make_request.call_args[0][0] == "delete"
+        assert make_request.call_args[0][1] == f"api/{path}"
+
+        assert response.status == 200
+        assert await response.text() == '{"result": "ok"}'
+        assert response.content_type == "application/json"