Add NYT Games integration (#126449)

* Add NYT Games integration

* Add NYT Games integration

* Add NYT Games integration

* Add NYT Games integration

* Add test

tests/components/nyt_games/test_init.py

@@ -0,0 +1,29 @@
+"""Tests for the NYT Games integration."""
+
+from unittest.mock import AsyncMock
+
+from syrupy import SnapshotAssertion
+
+from homeassistant.components.nyt_games.const import DOMAIN
+from homeassistant.core import HomeAssistant
+from homeassistant.helpers import device_registry as dr
+
+from . import setup_integration
+
+from tests.common import MockConfigEntry
+
+
+async def test_device_info(
+    hass: HomeAssistant,
+    snapshot: SnapshotAssertion,
+    mock_nyt_games_client: AsyncMock,
+    mock_config_entry: MockConfigEntry,
+    device_registry: dr.DeviceRegistry,
+) -> None:
+    """Test device registry integration."""
+    await setup_integration(hass, mock_config_entry)
+    device_entry = device_registry.async_get_device(
+        identifiers={(DOMAIN, mock_config_entry.unique_id)}
+    )
+    assert device_entry is not None
+    assert device_entry == snapshot