Add integration tests for host (#8912)

tests/integration/test_host_mode_reconnect.py

@@ -0,0 +1,28 @@
+"""Integration test for Host mode reconnection."""
+
+from __future__ import annotations
+
+import pytest
+
+from .types import APIClientConnectedFactory, RunCompiledFunction
+
+
+@pytest.mark.asyncio
+async def test_host_mode_reconnect(
+    yaml_config: str,
+    run_compiled: RunCompiledFunction,
+    api_client_connected: APIClientConnectedFactory,
+) -> None:
+    """Test reconnecting to a Host mode device."""
+    # Write, compile and run the ESPHome device
+    async with run_compiled(yaml_config):
+        # First connection
+        async with api_client_connected() as client:
+            device_info = await client.device_info()
+            assert device_info is not None
+
+        # Reconnect with a new client
+        async with api_client_connected() as client2:
+            device_info2 = await client2.device_info()
+            assert device_info2 is not None
+            assert device_info2.name == device_info.name