[api] Add an integration test for field free messages

Ping, device info, list entities done and disconnect all travel through
the ProtoMessage static entry points now that the no-op thunk is gone.

tests/integration/fixtures/api_empty_message_roundtrip.yaml

@@ -0,0 +1,11 @@
+esphome:
+  name: api-empty-message-test
+host:
+api:
+logger:
+  level: DEBUG
+
+switch:
+  - platform: template
+    name: "Empty Message Switch"
+    optimistic: true

tests/integration/test_api_empty_message_roundtrip.py

@@ -0,0 +1,36 @@
+"""Messages without fields go through the shared ProtoMessage entry points on both directions."""
+
+from __future__ import annotations
+
+from aioesphomeapi import api_pb2
+import pytest
+
+from .raw_api_client import MESSAGE_TYPE_OF, RawApiClient
+from .types import RunCompiledFunction
+
+
+@pytest.mark.asyncio
+async def test_api_empty_message_roundtrip(
+    yaml_config: str,
+    run_compiled: RunCompiledFunction,
+    unused_tcp_port: int,
+) -> None:
+    async with run_compiled(yaml_config), RawApiClient(unused_tcp_port) as client:
+        await client.connect()
+
+        # Field free request and reply on the plain send path
+        await client.send_message(api_pb2.PingRequest())
+        await client.read_until_frame(MESSAGE_TYPE_OF[api_pb2.PingResponse])
+
+        # Field free request answered by a message with fields, and a list that ends with
+        # the field free ListEntitiesDoneResponse through the batching path
+        await client.send_message(api_pb2.DeviceInfoRequest())
+        await client.read_until_frame(MESSAGE_TYPE_OF[api_pb2.DeviceInfoResponse])
+        await client.send_message(api_pb2.ListEntitiesRequest())
+        await client.read_until_frame(
+            MESSAGE_TYPE_OF[api_pb2.ListEntitiesSwitchResponse]
+        )
+        await client.read_until_frame(MESSAGE_TYPE_OF[api_pb2.ListEntitiesDoneResponse])
+
+        await client.send_message(api_pb2.DisconnectRequest())
+        await client.read_until_frame(MESSAGE_TYPE_OF[api_pb2.DisconnectResponse])